Atkin-Lehner |
2- 3- 5+ 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
72450dr |
Isogeny class |
Conductor |
72450 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
403200 |
Modular degree for the optimal curve |
Δ |
-1155087013500000 = -1 · 25 · 315 · 56 · 7 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 0 1 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-138380,19915247] |
[a1,a2,a3,a4,a6] |
j |
-25727239787761/101406816 |
j-invariant |
L |
4.9023967345098 |
L(r)(E,1)/r! |
Ω |
0.49023967540901 |
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 |
24150v1 2898g1 |
Quadratic twists by: -3 5 |