Atkin-Lehner |
2- 3+ 5- 23- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
76590bm |
Isogeny class |
Conductor |
76590 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
1854720 |
Modular degree for the optimal curve |
Δ |
736908696244912500 = 22 · 33 · 55 · 23 · 377 |
Discriminant |
Eigenvalues |
2- 3+ 5- 1 -5 1 1 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1036727,404452379] |
[a1,a2,a3,a4,a6] |
j |
4564075110404027660883/27292914675737500 |
j-invariant |
L |
5.727823475202 |
L(r)(E,1)/r! |
Ω |
0.28639117465756 |
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 |
76590a1 |
Quadratic twists by: -3 |