Atkin-Lehner |
2+ 3+ 5- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
45570q |
Isogeny class |
Conductor |
45570 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
97200 |
Modular degree for the optimal curve |
Δ |
-2989847700000 = -1 · 25 · 39 · 55 · 72 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 3 0 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-6402,-216684] |
[a1,a2,a3,a4,a6] |
j |
-592353055527289/61017300000 |
j-invariant |
L |
1.32656119852 |
L(r)(E,1)/r! |
Ω |
0.26531223973153 |
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 |
45570u1 |
Quadratic twists by: -7 |