Atkin-Lehner |
2- 3+ 5- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
124950go |
Isogeny class |
Conductor |
124950 |
Conductor |
∏ cp |
132 |
Product of Tamagawa factors cp |
deg |
185856 |
Modular degree for the optimal curve |
Δ |
-67173120000 = -1 · 211 · 32 · 54 · 73 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -3 -6 17+ -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-113,12431] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:-98:1] [-21:88:1] |
Generators of the group modulo torsion |
j |
-744775/313344 |
j-invariant |
L |
14.84868285152 |
L(r)(E,1)/r! |
Ω |
0.89234411830026 |
Real period |
R |
0.12606125739712 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001651 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124950dc1 124950jd1 |
Quadratic twists by: 5 -7 |