Atkin-Lehner |
2- 3+ 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
95550gh |
Isogeny class |
Conductor |
95550 |
Conductor |
∏ cp |
288 |
Product of Tamagawa factors cp |
deg |
43130880 |
Modular degree for the optimal curve |
Δ |
4.9616601089669E+26 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 0 13+ -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-227855713,-777295087969] |
[a1,a2,a3,a4,a6] |
Generators |
[-10049:710560:1] |
Generators of the group modulo torsion |
j |
244112114391139785383263/92579080750403420160 |
j-invariant |
L |
8.9150848933987 |
L(r)(E,1)/r! |
Ω |
0.040116241075414 |
Real period |
R |
3.0865460026185 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999990328 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19110y1 95550jv1 |
Quadratic twists by: 5 -7 |