Atkin-Lehner |
2- 7- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
79184s |
Isogeny class |
Conductor |
79184 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
308448 |
Modular degree for the optimal curve |
Δ |
-6379394918514688 = -1 · 229 · 76 · 101 |
Discriminant |
Eigenvalues |
2- 0 -2 7- -4 0 -5 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2989,-3842286] |
[a1,a2,a3,a4,a6] |
Generators |
[2969:161792:1] |
Generators of the group modulo torsion |
j |
6128487/13238272 |
j-invariant |
L |
2.904670381965 |
L(r)(E,1)/r! |
Ω |
0.19647851840357 |
Real period |
R |
3.6959134286232 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000012222 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9898a1 1616f1 |
Quadratic twists by: -4 -7 |