Atkin-Lehner |
2- 3- 5- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
101430fe |
Isogeny class |
Conductor |
101430 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
771120 |
Modular degree for the optimal curve |
Δ |
-4736262499983000 = -1 · 23 · 36 · 53 · 710 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 0 -5 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-76082,8748681] |
[a1,a2,a3,a4,a6] |
j |
-236513641/23000 |
j-invariant |
L |
3.8109929546735 |
L(r)(E,1)/r! |
Ω |
0.4234436469399 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11270c1 101430dm1 |
Quadratic twists by: -3 -7 |