Atkin-Lehner |
3- 7- 13- 37- |
Signs for the Atkin-Lehner involutions |
Class |
70707r |
Isogeny class |
Conductor |
70707 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
24960 |
Modular degree for the optimal curve |
Δ |
494949 = 3 · 73 · 13 · 37 |
Discriminant |
Eigenvalues |
-2 3- 1 7- -3 13- 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-520,-4742] |
[a1,a2,a3,a4,a6] |
Generators |
[-366:-10:27] |
Generators of the group modulo torsion |
j |
45422866432/1443 |
j-invariant |
L |
3.9415964558882 |
L(r)(E,1)/r! |
Ω |
0.99960856903634 |
Real period |
R |
1.9715699612356 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001209 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
70707g1 |
Quadratic twists by: -7 |