Atkin-Lehner |
2- 3+ 5+ 19- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
105450bw |
Isogeny class |
Conductor |
105450 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
4665600 |
Modular degree for the optimal curve |
Δ |
3743327164042968750 = 2 · 315 · 510 · 192 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 0 -5 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-3930638,2996374781] |
[a1,a2,a3,a4,a6] |
Generators |
[154416760460982:271196179993529:140770302408] |
Generators of the group modulo torsion |
j |
687721847170640425/383316701598 |
j-invariant |
L |
10.672262746458 |
L(r)(E,1)/r! |
Ω |
0.24573637254905 |
Real period |
R |
21.714861816657 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
105450bn1 |
Quadratic twists by: 5 |