Atkin-Lehner |
2+ 5+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
7150j |
Isogeny class |
Conductor |
7150 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
149760 |
Modular degree for the optimal curve |
Δ |
-89975600000000000 = -1 · 213 · 511 · 113 · 132 |
Discriminant |
Eigenvalues |
2+ 3 5+ 3 11- 13+ 1 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-76417,16583741] |
[a1,a2,a3,a4,a6] |
j |
-3158470573163361/5758438400000 |
j-invariant |
L |
3.6372943333664 |
L(r)(E,1)/r! |
Ω |
0.30310786111387 |
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 |
57200bg1 64350dn1 1430k1 78650cr1 |
Quadratic twists by: -4 -3 5 -11 |