Atkin-Lehner |
2+ 3- 7- 11- 79- |
Signs for the Atkin-Lehner involutions |
Class |
36498bb |
Isogeny class |
Conductor |
36498 |
Conductor |
∏ cp |
140 |
Product of Tamagawa factors cp |
deg |
362880 |
Modular degree for the optimal curve |
Δ |
-7185621018163896 = -1 · 23 · 35 · 74 · 117 · 79 |
Discriminant |
Eigenvalues |
2+ 3- -3 7- 11- -7 -2 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,3545,4077890] |
[a1,a2,a3,a4,a6] |
Generators |
[574:-14263:1] |
Generators of the group modulo torsion |
j |
4928883185518487/7185621018163896 |
j-invariant |
L |
3.7191822662989 |
L(r)(E,1)/r! |
Ω |
0.32805849928625 |
Real period |
R |
0.080978202589542 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999991 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
109494cg1 |
Quadratic twists by: -3 |