Atkin-Lehner |
2+ 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
25200m |
Isogeny class |
Conductor |
25200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
8192 |
Modular degree for the optimal curve |
Δ |
47250000 = 24 · 33 · 56 · 7 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 6 6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-150,-625] |
[a1,a2,a3,a4,a6] |
j |
55296/7 |
j-invariant |
L |
2.7511039032363 |
L(r)(E,1)/r! |
Ω |
1.3755519516181 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12600b1 100800ka1 25200n1 1008b1 |
Quadratic twists by: -4 8 -3 5 |