Atkin-Lehner |
2+ 3- 5+ 11- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
62040i |
Isogeny class |
Conductor |
62040 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
76800 |
Modular degree for the optimal curve |
Δ |
1043470985040 = 24 · 35 · 5 · 11 · 474 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 11- -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5191,-137050] |
[a1,a2,a3,a4,a6] |
Generators |
[-34:36:1] |
Generators of the group modulo torsion |
j |
967031178041344/65216936565 |
j-invariant |
L |
6.9680670761477 |
L(r)(E,1)/r! |
Ω |
0.5648295365993 |
Real period |
R |
2.4673168185217 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998584 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
124080a1 |
Quadratic twists by: -4 |