Atkin-Lehner |
2- 5+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
59200cw |
Isogeny class |
Conductor |
59200 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
92500000000000000 = 214 · 516 · 37 |
Discriminant |
Eigenvalues |
2- -1 5+ -1 -3 0 8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-166533,21737437] |
[a1,a2,a3,a4,a6] |
Generators |
[2604:69175:27] |
Generators of the group modulo torsion |
j |
1995203838976/361328125 |
j-invariant |
L |
4.1636395793311 |
L(r)(E,1)/r! |
Ω |
0.32228237622857 |
Real period |
R |
6.4596141247942 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000035 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59200v1 14800a1 11840w1 |
Quadratic twists by: -4 8 5 |