Atkin-Lehner |
2+ 3+ 5+ 23- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
127650i |
Isogeny class |
Conductor |
127650 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2488320 |
Modular degree for the optimal curve |
Δ |
209377912500000000 = 28 · 39 · 511 · 23 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 3 -5 -1 3 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1187125,496862125] |
[a1,a2,a3,a4,a6] |
j |
11841142586841545041/13400186400000 |
j-invariant |
L |
1.260722834216 |
L(r)(E,1)/r! |
Ω |
0.31518065654443 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25530bl1 |
Quadratic twists by: 5 |