Atkin-Lehner |
3- 5- 13- 37- |
Signs for the Atkin-Lehner involutions |
Class |
7215j |
Isogeny class |
Conductor |
7215 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-660552978515625 = -1 · 32 · 516 · 13 · 37 |
Discriminant |
Eigenvalues |
-1 3- 5- 0 -4 13- -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,14950,1018125] |
[a1,a2,a3,a4,a6] |
Generators |
[-44:547:1] |
Generators of the group modulo torsion |
j |
369526402928872799/660552978515625 |
j-invariant |
L |
3.1657120415739 |
L(r)(E,1)/r! |
Ω |
0.35091012431555 |
Real period |
R |
4.5107163091242 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
115440cd3 21645h3 36075a3 93795p3 |
Quadratic twists by: -4 -3 5 13 |