Atkin-Lehner |
2- 5- 19- 73- |
Signs for the Atkin-Lehner involutions |
Class |
69350j |
Isogeny class |
Conductor |
69350 |
Conductor |
∏ cp |
188 |
Product of Tamagawa factors cp |
deg |
2466560 |
Modular degree for the optimal curve |
Δ |
4.6360687882849E+20 |
Discriminant |
Eigenvalues |
2- 1 5- -1 1 -6 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2516543,1134650777] |
[a1,a2,a3,a4,a6] |
Generators |
[422:11949:1] |
Generators of the group modulo torsion |
j |
14100248822478800673797/3708855030627958784 |
j-invariant |
L |
10.363880903365 |
L(r)(E,1)/r! |
Ω |
0.15565824383601 |
Real period |
R |
0.35415423383617 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999992205 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
69350e1 |
Quadratic twists by: 5 |