Atkin-Lehner |
2- 7+ 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
65702s |
Isogeny class |
Conductor |
65702 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-4687443488 = -1 · 25 · 74 · 132 · 192 |
Discriminant |
Eigenvalues |
2- -1 -2 7+ -3 13- -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-739,8097] |
[a1,a2,a3,a4,a6] |
Generators |
[15:-34:1] [21:38:1] |
Generators of the group modulo torsion |
j |
-123647845897/12984608 |
j-invariant |
L |
10.629307077363 |
L(r)(E,1)/r! |
Ω |
1.3378652448422 |
Real period |
R |
0.39724879311715 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000023 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
65702a1 |
Quadratic twists by: -19 |