Atkin-Lehner |
2- 3+ 5+ 11+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
124080bf |
Isogeny class |
Conductor |
124080 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
214272 |
Modular degree for the optimal curve |
Δ |
899244363600 = 24 · 33 · 52 · 116 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 11+ 2 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2641,-24584] |
[a1,a2,a3,a4,a6] |
Generators |
[-777492:2531690:19683] |
Generators of the group modulo torsion |
j |
127371823366144/56202772725 |
j-invariant |
L |
6.8332767290829 |
L(r)(E,1)/r! |
Ω |
0.69361824610992 |
Real period |
R |
9.8516391983903 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000039494 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31020j1 |
Quadratic twists by: -4 |