Atkin-Lehner |
3- 11- 23+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
70587h |
Isogeny class |
Conductor |
70587 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
26112 |
Modular degree for the optimal curve |
Δ |
-5494562667 = -1 · 36 · 11 · 23 · 313 |
Discriminant |
Eigenvalues |
0 3- 0 0 11- 5 -8 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,360,-2410] |
[a1,a2,a3,a4,a6] |
Generators |
[108:1138:1] |
Generators of the group modulo torsion |
j |
7077888000/7537123 |
j-invariant |
L |
5.386305731426 |
L(r)(E,1)/r! |
Ω |
0.73347826218833 |
Real period |
R |
3.6717555306842 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999578 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7843a1 |
Quadratic twists by: -3 |