Atkin-Lehner |
2- 3- 5+ 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
116550fd |
Isogeny class |
Conductor |
116550 |
Conductor |
∏ cp |
26 |
Product of Tamagawa factors cp |
deg |
539136 |
Modular degree for the optimal curve |
Δ |
-652530816000000 = -1 · 213 · 39 · 56 · 7 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 4 -2 -6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,8545,-1192953] |
[a1,a2,a3,a4,a6] |
Generators |
[83:246:1] |
Generators of the group modulo torsion |
j |
6058428767/57286656 |
j-invariant |
L |
11.774607218957 |
L(r)(E,1)/r! |
Ω |
0.25287359480797 |
Real period |
R |
1.7908928309157 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007771 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38850p1 4662c1 |
Quadratic twists by: -3 5 |