Atkin-Lehner |
2+ 3- 5- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
85680br |
Isogeny class |
Conductor |
85680 |
Conductor |
∏ cp |
352 |
Product of Tamagawa factors cp |
deg |
98402304 |
Modular degree for the optimal curve |
Δ |
-2.2425662986084E+29 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ -2 2 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3473624307,82027086208706] |
[a1,a2,a3,a4,a6] |
j |
-6209330302768171611865194436/300412366390228271484375 |
j-invariant |
L |
2.7386499381119 |
L(r)(E,1)/r! |
Ω |
0.031121021855965 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42840cl1 28560a1 |
Quadratic twists by: -4 -3 |