Atkin-Lehner |
2+ 3+ 5- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
45570p |
Isogeny class |
Conductor |
45570 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
290304 |
Modular degree for the optimal curve |
Δ |
-3243844068426360 = -1 · 23 · 33 · 5 · 713 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- -2 5 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-11687,2778189] |
[a1,a2,a3,a4,a6] |
j |
-1500730351849/27572219640 |
j-invariant |
L |
1.5086044309411 |
L(r)(E,1)/r! |
Ω |
0.37715110771188 |
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 |
6510g1 |
Quadratic twists by: -7 |