Atkin-Lehner |
7+ 11- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
51667d |
Isogeny class |
Conductor |
51667 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
230400 |
Modular degree for the optimal curve |
Δ |
-174100743661691 = -1 · 74 · 117 · 612 |
Discriminant |
Eigenvalues |
-2 -1 1 7+ 11- -2 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-67800,6847290] |
[a1,a2,a3,a4,a6] |
Generators |
[-150:3690:1] [-29:2964:1] |
Generators of the group modulo torsion |
j |
-19456426971136/98275331 |
j-invariant |
L |
4.2101792358949 |
L(r)(E,1)/r! |
Ω |
0.57428607969951 |
Real period |
R |
0.45819707554353 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999908 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4697b1 |
Quadratic twists by: -11 |