Atkin-Lehner |
2+ 3+ 5+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
127200j |
Isogeny class |
Conductor |
127200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
135168 |
Modular degree for the optimal curve |
Δ |
2385000000 = 26 · 32 · 57 · 53 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 -4 4 -8 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2258,-40488] |
[a1,a2,a3,a4,a6] |
j |
1273760704/2385 |
j-invariant |
L |
1.3852597929412 |
L(r)(E,1)/r! |
Ω |
0.69263014944491 |
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 |
127200dk1 25440bh1 |
Quadratic twists by: -4 5 |