Atkin-Lehner |
2+ 5+ 11+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
62480b |
Isogeny class |
Conductor |
62480 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
376320 |
Modular degree for the optimal curve |
Δ |
-5415136718750000 = -1 · 24 · 514 · 11 · 712 |
Discriminant |
Eigenvalues |
2+ 0 5+ 2 11+ -4 -4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7558,3549507] |
[a1,a2,a3,a4,a6] |
j |
-2984175717894144/338446044921875 |
j-invariant |
L |
1.4082873258325 |
L(r)(E,1)/r! |
Ω |
0.35207183289519 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31240g1 |
Quadratic twists by: -4 |