Atkin-Lehner |
3- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
20181o |
Isogeny class |
Conductor |
20181 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
10080 |
Modular degree for the optimal curve |
Δ |
-102983643 = -1 · 37 · 72 · 312 |
Discriminant |
Eigenvalues |
-2 3- -2 7- -2 -7 -2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-134,728] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:31:1] [-2:31:1] |
Generators of the group modulo torsion |
j |
-278966272/107163 |
j-invariant |
L |
4.2397903989663 |
L(r)(E,1)/r! |
Ω |
1.7736672368671 |
Real period |
R |
0.1707435109923 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
60543s1 20181e1 |
Quadratic twists by: -3 -31 |