Atkin-Lehner |
2+ 5- 13- 37- |
Signs for the Atkin-Lehner involutions |
Class |
62530j |
Isogeny class |
Conductor |
62530 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
359424 |
Modular degree for the optimal curve |
Δ |
1161404771330960 = 24 · 5 · 139 · 372 |
Discriminant |
Eigenvalues |
2+ 0 5- -4 -2 13- 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-108614,13706980] |
[a1,a2,a3,a4,a6] |
j |
13362669117/109520 |
j-invariant |
L |
0.98037345820367 |
L(r)(E,1)/r! |
Ω |
0.49018672668443 |
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 |
62530r1 |
Quadratic twists by: 13 |