Atkin-Lehner |
2- 5- 37- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
63640c |
Isogeny class |
Conductor |
63640 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
88576 |
Modular degree for the optimal curve |
Δ |
10946080000 = 28 · 54 · 37 · 432 |
Discriminant |
Eigenvalues |
2- -3 5- -1 1 -2 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2692,53524] |
[a1,a2,a3,a4,a6] |
Generators |
[68:430:1] [-12:290:1] |
Generators of the group modulo torsion |
j |
8427697007616/42758125 |
j-invariant |
L |
6.6930937351899 |
L(r)(E,1)/r! |
Ω |
1.2860411885248 |
Real period |
R |
0.32527601929184 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000016 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127280d1 |
Quadratic twists by: -4 |