Atkin-Lehner |
2- 3+ 5- 17- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
37230w |
Isogeny class |
Conductor |
37230 |
Conductor |
∏ cp |
480 |
Product of Tamagawa factors cp |
deg |
933120 |
Modular degree for the optimal curve |
Δ |
-1575125259780096000 = -1 · 220 · 33 · 53 · 174 · 732 |
Discriminant |
Eigenvalues |
2- 3+ 5- 4 -4 2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,276050,-22899733] |
[a1,a2,a3,a4,a6] |
j |
2326413279640803271199/1575125259780096000 |
j-invariant |
L |
4.551023903855 |
L(r)(E,1)/r! |
Ω |
0.15170079679588 |
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 |
111690g1 |
Quadratic twists by: -3 |