Atkin-Lehner |
2+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
61600o |
Isogeny class |
Conductor |
61600 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
537600 |
Modular degree for the optimal curve |
Δ |
-24747740864000000 = -1 · 212 · 56 · 74 · 115 |
Discriminant |
Eigenvalues |
2+ -1 5+ 7- 11- 2 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-807133,279475637] |
[a1,a2,a3,a4,a6] |
Generators |
[431:3388:1] |
Generators of the group modulo torsion |
j |
-908614343190016/386683451 |
j-invariant |
L |
4.783752510621 |
L(r)(E,1)/r! |
Ω |
0.37188321763365 |
Real period |
R |
0.32158970100629 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999788 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61600bb1 123200bm1 2464j1 |
Quadratic twists by: -4 8 5 |