Atkin-Lehner |
2+ 3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
100800cj |
Isogeny class |
Conductor |
100800 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
8847360 |
Modular degree for the optimal curve |
Δ |
-3.2362142367744E+22 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 0 -4 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-18211500,-31140450000] |
[a1,a2,a3,a4,a6] |
Generators |
[1587527917928685646:-14935242632600829952:318178349109109] |
Generators of the group modulo torsion |
j |
-66282611823/3211264 |
j-invariant |
L |
7.3916704419255 |
L(r)(E,1)/r! |
Ω |
0.036438266628646 |
Real period |
R |
25.356826621429 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999561965 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
100800kg1 3150bd1 100800ci1 100800bm1 |
Quadratic twists by: -4 8 -3 5 |