Atkin-Lehner |
2+ 5+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
7150b |
Isogeny class |
Conductor |
7150 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
-116187500000 = -1 · 25 · 59 · 11 · 132 |
Discriminant |
Eigenvalues |
2+ 1 5+ -1 11+ 13+ 5 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-23401,1375948] |
[a1,a2,a3,a4,a6] |
Generators |
[32:796:1] |
Generators of the group modulo torsion |
j |
-90694355177089/7436000 |
j-invariant |
L |
3.3533842659421 |
L(r)(E,1)/r! |
Ω |
1.0024076955337 |
Real period |
R |
0.41816621631142 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
57200bo1 64350ee1 1430e1 78650ce1 |
Quadratic twists by: -4 -3 5 -11 |