Atkin-Lehner |
2- 3+ 5+ 11+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
70950bb |
Isogeny class |
Conductor |
70950 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
2286144 |
Modular degree for the optimal curve |
Δ |
-4406860567296000000 = -1 · 214 · 39 · 56 · 11 · 433 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 1 11+ 4 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-4878788,4146979781] |
[a1,a2,a3,a4,a6] |
j |
-821938895581650775417/282039076306944 |
j-invariant |
L |
3.3691543103134 |
L(r)(E,1)/r! |
Ω |
0.24065387951757 |
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 |
2838b1 |
Quadratic twists by: 5 |