Atkin-Lehner |
2- 3+ 5- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
35490co |
Isogeny class |
Conductor |
35490 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
deg |
430080 |
Modular degree for the optimal curve |
Δ |
34543209204940800 = 220 · 3 · 52 · 7 · 137 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ -4 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-81715,-969103] |
[a1,a2,a3,a4,a6] |
Generators |
[547:10606:1] |
Generators of the group modulo torsion |
j |
12501706118329/7156531200 |
j-invariant |
L |
7.2992198519945 |
L(r)(E,1)/r! |
Ω |
0.30613050032024 |
Real period |
R |
2.3843491074421 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
106470bf1 2730d1 |
Quadratic twists by: -3 13 |