Atkin-Lehner |
2+ 3+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
5082c |
Isogeny class |
Conductor |
5082 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
720720 |
Modular degree for the optimal curve |
Δ |
-1.2858070837018E+23 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7+ 11- 5 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,6568846,-15986285388] |
[a1,a2,a3,a4,a6] |
j |
146234339790153527/599838494072832 |
j-invariant |
L |
1.319103964262 |
L(r)(E,1)/r! |
Ω |
0.052764158570482 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40656di1 15246bh1 127050ii1 35574bj1 |
Quadratic twists by: -4 -3 5 -7 |