Atkin-Lehner |
2+ 3+ 5+ 7- 101- |
Signs for the Atkin-Lehner involutions |
Class |
63630b |
Isogeny class |
Conductor |
63630 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
408576 |
Modular degree for the optimal curve |
Δ |
115138886123520 = 214 · 39 · 5 · 7 · 1012 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 0 6 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-199680,34390016] |
[a1,a2,a3,a4,a6] |
Generators |
[1097:33135:1] |
Generators of the group modulo torsion |
j |
44733960204982803/5849661440 |
j-invariant |
L |
5.2506539905338 |
L(r)(E,1)/r! |
Ω |
0.5697208413056 |
Real period |
R |
4.6080936576204 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999993615 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
63630bb1 |
Quadratic twists by: -3 |