Atkin-Lehner |
2- 3+ 5+ 7- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
70350cg |
Isogeny class |
Conductor |
70350 |
Conductor |
∏ cp |
22 |
Product of Tamagawa factors cp |
deg |
50688 |
Modular degree for the optimal curve |
Δ |
-4538419200 = -1 · 211 · 33 · 52 · 72 · 67 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -3 1 2 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,337,-2059] |
[a1,a2,a3,a4,a6] |
Generators |
[11:50:1] |
Generators of the group modulo torsion |
j |
169275014375/181536768 |
j-invariant |
L |
7.9830918555249 |
L(r)(E,1)/r! |
Ω |
0.74486273488534 |
Real period |
R |
0.48716064669866 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996222 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
70350bm1 |
Quadratic twists by: 5 |