Atkin-Lehner |
2- 7- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
65702z |
Isogeny class |
Conductor |
65702 |
Conductor |
∏ cp |
336 |
Product of Tamagawa factors cp |
deg |
919296 |
Modular degree for the optimal curve |
Δ |
-682242662356073728 = -1 · 28 · 76 · 137 · 192 |
Discriminant |
Eigenvalues |
2- -2 -2 7- -3 13- -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,211681,13210585] |
[a1,a2,a3,a4,a6] |
Generators |
[492:15133:1] |
Generators of the group modulo torsion |
j |
2905775230879610423/1889868870792448 |
j-invariant |
L |
4.9631997478154 |
L(r)(E,1)/r! |
Ω |
0.17917265370991 |
Real period |
R |
0.082442423631955 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000315 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
65702h1 |
Quadratic twists by: -19 |