Atkin-Lehner |
2+ 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
115600b |
Isogeny class |
Conductor |
115600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
245760 |
Modular degree for the optimal curve |
Δ |
30171961250000 = 24 · 57 · 176 |
Discriminant |
Eigenvalues |
2+ 0 5+ 4 4 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-14450,-614125] |
[a1,a2,a3,a4,a6] |
Generators |
[-341973526999:956039018676:4500297451] |
Generators of the group modulo torsion |
j |
55296/5 |
j-invariant |
L |
8.4263728088204 |
L(r)(E,1)/r! |
Ω |
0.43796216382067 |
Real period |
R |
19.239956035646 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000037542 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57800s1 23120a1 400a1 |
Quadratic twists by: -4 5 17 |