Atkin-Lehner |
2+ 3- 5+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
115920u |
Isogeny class |
Conductor |
115920 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
3004646400 = 210 · 36 · 52 · 7 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 0 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-363,362] |
[a1,a2,a3,a4,a6] |
Generators |
[-19:20:1] |
Generators of the group modulo torsion |
j |
7086244/4025 |
j-invariant |
L |
7.2428063913272 |
L(r)(E,1)/r! |
Ω |
1.2246744698337 |
Real period |
R |
1.4785166574555 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999680906 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57960m1 12880k1 |
Quadratic twists by: -4 -3 |