Atkin-Lehner |
2- 3- 5- 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
25830bj |
Isogeny class |
Conductor |
25830 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
71680 |
Modular degree for the optimal curve |
Δ |
-22321315618560 = -1 · 28 · 311 · 5 · 74 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -4 -2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,6988,-35049] |
[a1,a2,a3,a4,a6] |
j |
51774168853511/30619088640 |
j-invariant |
L |
3.1767638586036 |
L(r)(E,1)/r! |
Ω |
0.39709548232543 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
8610c1 129150x1 |
Quadratic twists by: -3 5 |