Atkin-Lehner |
2- 7- 17- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
78302f |
Isogeny class |
Conductor |
78302 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
5898240 |
Modular degree for the optimal curve |
Δ |
-4.3894253228792E+21 |
Discriminant |
Eigenvalues |
2- 1 3 7- 1 2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-11043229,14479404337] |
[a1,a2,a3,a4,a6] |
j |
-1265970858601452921793/37309499637729536 |
j-invariant |
L |
8.8031617084858 |
L(r)(E,1)/r! |
Ω |
0.13754940141474 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11186c1 |
Quadratic twists by: -7 |