Atkin-Lehner |
2- 7- 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
76636c |
Isogeny class |
Conductor |
76636 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
-12512206448 = -1 · 24 · 76 · 172 · 23 |
Discriminant |
Eigenvalues |
2- -3 -2 7- 0 -3 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,539,2401] |
[a1,a2,a3,a4,a6] |
Generators |
[0:49:1] [8:85:1] |
Generators of the group modulo torsion |
j |
9199872/6647 |
j-invariant |
L |
5.7443230095297 |
L(r)(E,1)/r! |
Ω |
0.80445846481349 |
Real period |
R |
1.7851521429008 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.000000000032 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1564b1 |
Quadratic twists by: -7 |