Atkin-Lehner |
3- 5+ 19+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
35055c |
Isogeny class |
Conductor |
35055 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
76800 |
Modular degree for the optimal curve |
Δ |
26419240537425 = 39 · 52 · 19 · 414 |
Discriminant |
Eigenvalues |
-1 3- 5+ 0 0 -6 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-7448,-4894] |
[a1,a2,a3,a4,a6] |
Generators |
[-77:366:1] |
Generators of the group modulo torsion |
j |
62670119202361/36240384825 |
j-invariant |
L |
2.2316731296344 |
L(r)(E,1)/r! |
Ω |
0.56249905530381 |
Real period |
R |
1.9837127801299 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
11685d1 |
Quadratic twists by: -3 |