Atkin-Lehner |
2+ 3- 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
79350bc |
Isogeny class |
Conductor |
79350 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
1797120 |
Modular degree for the optimal curve |
Δ |
1722333265920000000 = 226 · 33 · 57 · 233 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 4 -4 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1571751,-755942102] |
[a1,a2,a3,a4,a6] |
Generators |
[-758:641:1] |
Generators of the group modulo torsion |
j |
2258764829526743/9059696640 |
j-invariant |
L |
6.4076378120246 |
L(r)(E,1)/r! |
Ω |
0.13486784952558 |
Real period |
R |
3.9592076195452 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003659 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15870ba1 79350bd1 |
Quadratic twists by: 5 -23 |