Atkin-Lehner |
3- 5- 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
73515q |
Isogeny class |
Conductor |
73515 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
22656 |
Modular degree for the optimal curve |
Δ |
-27715155 = -1 · 3 · 5 · 133 · 292 |
Discriminant |
Eigenvalues |
2 3- 5- -1 3 13- -1 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-30,251] |
[a1,a2,a3,a4,a6] |
j |
-1404928/12615 |
j-invariant |
L |
7.2002506354563 |
L(r)(E,1)/r! |
Ω |
1.8000626649706 |
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 |
73515m1 |
Quadratic twists by: 13 |