Atkin-Lehner |
2- 5+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
81200bt |
Isogeny class |
Conductor |
81200 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
725760 |
Modular degree for the optimal curve |
Δ |
-437050880000000000 = -1 · 218 · 510 · 7 · 293 |
Discriminant |
Eigenvalues |
2- 1 5+ 7- 0 4 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-355208,87353588] |
[a1,a2,a3,a4,a6] |
j |
-123911940625/10926272 |
j-invariant |
L |
3.4926330087703 |
L(r)(E,1)/r! |
Ω |
0.29105274950238 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10150b1 81200cc1 |
Quadratic twists by: -4 5 |