Atkin-Lehner |
3+ 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
40425bd |
Isogeny class |
Conductor |
40425 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
136080 |
Modular degree for the optimal curve |
Δ |
-150140344921875 = -1 · 33 · 58 · 76 · 112 |
Discriminant |
Eigenvalues |
0 3+ 5- 7- 11+ 1 6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-28583,-1941682] |
[a1,a2,a3,a4,a6] |
Generators |
[9470564:414035998:4913] |
Generators of the group modulo torsion |
j |
-56197120/3267 |
j-invariant |
L |
4.4209811629613 |
L(r)(E,1)/r! |
Ω |
0.18296976807268 |
Real period |
R |
12.081179337797 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999975 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
121275gi1 40425ca1 825c1 |
Quadratic twists by: -3 5 -7 |