Atkin-Lehner |
2- 3+ 5- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
74400cb |
Isogeny class |
Conductor |
74400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
145920 |
Modular degree for the optimal curve |
Δ |
104625000000 = 26 · 33 · 59 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 0 -6 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-34958,-2504088] |
[a1,a2,a3,a4,a6] |
Generators |
[-25686197620:-1500408757:238328000] |
Generators of the group modulo torsion |
j |
37797742016/837 |
j-invariant |
L |
5.4536669293172 |
L(r)(E,1)/r! |
Ω |
0.34915032604567 |
Real period |
R |
15.619824817967 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002471 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
74400dc1 74400bj1 |
Quadratic twists by: -4 5 |