Atkin-Lehner |
2+ 3+ 7- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
64974f |
Isogeny class |
Conductor |
64974 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
16773120 |
Modular degree for the optimal curve |
Δ |
2.039755347445E+20 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- -2 13+ 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-639174694,-6220081356908] |
[a1,a2,a3,a4,a6] |
Generators |
[268156:138086530:1] |
Generators of the group modulo torsion |
j |
245467607504992533120574297/1733763438231552 |
j-invariant |
L |
3.7094789270317 |
L(r)(E,1)/r! |
Ω |
0.030025805134127 |
Real period |
R |
6.1771514708556 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000199 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9282l1 |
Quadratic twists by: -7 |