Atkin-Lehner |
2+ 23- 41- |
Signs for the Atkin-Lehner involutions |
Class |
43378i |
Isogeny class |
Conductor |
43378 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
709632 |
Modular degree for the optimal curve |
Δ |
13151233624150016 = 212 · 238 · 41 |
Discriminant |
Eigenvalues |
2+ 2 2 -4 4 6 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-260014,-50841420] |
[a1,a2,a3,a4,a6] |
Generators |
[-9525939275805:-8531232094074:31107273625] |
Generators of the group modulo torsion |
j |
13132563308857/88838144 |
j-invariant |
L |
7.0241254287503 |
L(r)(E,1)/r! |
Ω |
0.21150818899893 |
Real period |
R |
16.604854549623 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999982 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1886a1 |
Quadratic twists by: -23 |