Atkin-Lehner |
3- 5- 11- 61- |
Signs for the Atkin-Lehner involutions |
Class |
30195s |
Isogeny class |
Conductor |
30195 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
8704 |
Modular degree for the optimal curve |
Δ |
-110060775 = -1 · 38 · 52 · 11 · 61 |
Discriminant |
Eigenvalues |
1 3- 5- 0 11- -4 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,81,400] |
[a1,a2,a3,a4,a6] |
Generators |
[0:20:1] |
Generators of the group modulo torsion |
j |
80062991/150975 |
j-invariant |
L |
6.4856022916014 |
L(r)(E,1)/r! |
Ω |
1.2923265510211 |
Real period |
R |
2.509273792478 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10065b1 |
Quadratic twists by: -3 |