Atkin-Lehner |
2+ 3+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
121296u |
Isogeny class |
Conductor |
121296 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1105920 |
Modular degree for the optimal curve |
Δ |
-129782410545131568 = -1 · 24 · 33 · 72 · 1910 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- 0 2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,115761,-8441370] |
[a1,a2,a3,a4,a6] |
Generators |
[374103762:8908020352:1860867] |
Generators of the group modulo torsion |
j |
227910944768/172414683 |
j-invariant |
L |
5.4335291934978 |
L(r)(E,1)/r! |
Ω |
0.18396916064552 |
Real period |
R |
14.767500003081 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000006018 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
60648bj1 6384m1 |
Quadratic twists by: -4 -19 |