Atkin-Lehner |
2+ 5- 7- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
70070y |
Isogeny class |
Conductor |
70070 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
44800 |
Modular degree for the optimal curve |
Δ |
-4904900000 = -1 · 25 · 55 · 73 · 11 · 13 |
Discriminant |
Eigenvalues |
2+ -1 5- 7- 11- 13- -8 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,423,-251] |
[a1,a2,a3,a4,a6] |
Generators |
[13:-94:1] |
Generators of the group modulo torsion |
j |
24313388273/14300000 |
j-invariant |
L |
3.6134424890639 |
L(r)(E,1)/r! |
Ω |
0.80328368584272 |
Real period |
R |
0.44983391957055 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999993546 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
70070i1 |
Quadratic twists by: -7 |