Atkin-Lehner |
2+ 3- 5+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
68970u |
Isogeny class |
Conductor |
68970 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
3317760 |
Modular degree for the optimal curve |
Δ |
3.9800852474905E+20 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 11- 2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2940424,1686491222] |
[a1,a2,a3,a4,a6] |
Generators |
[169:34475:1] |
Generators of the group modulo torsion |
j |
1587074323222816849/224665436160000 |
j-invariant |
L |
5.7533562327952 |
L(r)(E,1)/r! |
Ω |
0.16200236132421 |
Real period |
R |
2.2196266869363 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000217 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6270p1 |
Quadratic twists by: -11 |