Atkin-Lehner |
2- 5- 7+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
102410cc |
Isogeny class |
Conductor |
102410 |
Conductor |
∏ cp |
140 |
Product of Tamagawa factors cp |
deg |
2728320 |
Modular degree for the optimal curve |
Δ |
3.244369463627E+19 |
Discriminant |
Eigenvalues |
2- 1 5- 7+ 11- 5 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-895280,-176734048] |
[a1,a2,a3,a4,a6] |
Generators |
[-646:11818:1] |
Generators of the group modulo torsion |
j |
13766263259104321/5627894984800 |
j-invariant |
L |
15.026856207977 |
L(r)(E,1)/r! |
Ω |
0.16086458906913 |
Real period |
R |
0.6672362614634 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000017469 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
102410bp1 |
Quadratic twists by: -7 |