Atkin-Lehner |
3- 5- 11- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
30195p |
Isogeny class |
Conductor |
30195 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
-990546975 = -1 · 310 · 52 · 11 · 61 |
Discriminant |
Eigenvalues |
1 3- 5- -4 11- -4 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-9,-1512] |
[a1,a2,a3,a4,a6] |
Generators |
[102:93:8] [24:96:1] |
Generators of the group modulo torsion |
j |
-117649/1358775 |
j-invariant |
L |
9.5630611564986 |
L(r)(E,1)/r! |
Ω |
0.71157302605011 |
Real period |
R |
6.7196624987202 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10065g1 |
Quadratic twists by: -3 |