Atkin-Lehner |
2- 5+ 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
18550p |
Isogeny class |
Conductor |
18550 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
deg |
93600 |
Modular degree for the optimal curve |
Δ |
5680937500000 = 25 · 510 · 73 · 53 |
Discriminant |
Eigenvalues |
2- -1 5+ 7- 4 -5 4 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-65013,-6406469] |
[a1,a2,a3,a4,a6] |
Generators |
[-149:88:1] |
Generators of the group modulo torsion |
j |
3111893366425/581728 |
j-invariant |
L |
6.6203554239042 |
L(r)(E,1)/r! |
Ω |
0.29898840053458 |
Real period |
R |
1.4761677291532 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18550f1 129850bx1 |
Quadratic twists by: 5 -7 |