Atkin-Lehner |
7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
637c |
Isogeny class |
Conductor |
637 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
420 |
Modular degree for the optimal curve |
Δ |
-3672178237 = -1 · 710 · 13 |
Discriminant |
Eigenvalues |
1 0 0 7- -3 13- -7 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-5252,-145223] |
[a1,a2,a3,a4,a6] |
Generators |
[33432:158761:343] |
Generators of the group modulo torsion |
j |
-56723625/13 |
j-invariant |
L |
2.4750227405405 |
L(r)(E,1)/r! |
Ω |
0.28040033781114 |
Real period |
R |
8.8267466432495 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10192bd1 40768k1 5733k1 15925h1 |
Quadratic twists by: -4 8 -3 5 |