Atkin-Lehner |
2- 5+ 7+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
23450l |
Isogeny class |
Conductor |
23450 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
153600 |
Modular degree for the optimal curve |
Δ |
-1207145968000000 = -1 · 210 · 56 · 75 · 672 |
Discriminant |
Eigenvalues |
2- 2 5+ 7+ -4 -2 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-9113,1701031] |
[a1,a2,a3,a4,a6] |
j |
-5356619222473/77257341952 |
j-invariant |
L |
4.1144960967886 |
L(r)(E,1)/r! |
Ω |
0.41144960967885 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
938b1 |
Quadratic twists by: 5 |