Atkin-Lehner |
2- 3- 5+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
121800bx |
Isogeny class |
Conductor |
121800 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
106375680 |
Modular degree for the optimal curve |
Δ |
-2.8134283447266E+27 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 1 2 3 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-7212027408,-235756698177312] |
[a1,a2,a3,a4,a6] |
Generators |
[1127865326824177547377746283:166869947375531477352832031250:10400605117838016312041] |
Generators of the group modulo torsion |
j |
-1296420349508030865803093138/87919635772705078125 |
j-invariant |
L |
10.10440416432 |
L(r)(E,1)/r! |
Ω |
0.008191311653879 |
Real period |
R |
34.2653173647 |
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 |
24360c1 |
Quadratic twists by: 5 |