Atkin-Lehner |
5+ 11+ 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
24035b |
Isogeny class |
Conductor |
24035 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
413056 |
Modular degree for the optimal curve |
Δ |
122415972325625 = 54 · 117 · 19 · 232 |
Discriminant |
Eigenvalues |
1 2 5+ 0 11+ -2 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-7713863,-8249455408] |
[a1,a2,a3,a4,a6] |
Generators |
[-41122891560952557125235660142257984861811743906108945938880:20666923103522174688816907122294749951782403367058117259404:25638551445295053266873840115732830506101637163847571125] |
Generators of the group modulo torsion |
j |
50762098137124855548313849/122415972325625 |
j-invariant |
L |
7.9930492075095 |
L(r)(E,1)/r! |
Ω |
0.090590272711575 |
Real period |
R |
88.232974338846 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
120175e1 |
Quadratic twists by: 5 |