Atkin-Lehner |
2- 3- 5- 31+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
34410p |
Isogeny class |
Conductor |
34410 |
Conductor |
∏ cp |
540 |
Product of Tamagawa factors cp |
deg |
129600 |
Modular degree for the optimal curve |
Δ |
-349934215500000 = -1 · 25 · 39 · 56 · 312 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5- 1 -3 -3 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,15465,513225] |
[a1,a2,a3,a4,a6] |
Generators |
[570:13665:1] |
Generators of the group modulo torsion |
j |
409045604300447759/349934215500000 |
j-invariant |
L |
11.302607192227 |
L(r)(E,1)/r! |
Ω |
0.34982545569794 |
Real period |
R |
0.059831992551599 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
103230h1 |
Quadratic twists by: -3 |