Atkin-Lehner |
3- 5- 13- 31- |
Signs for the Atkin-Lehner involutions |
Class |
18135s |
Isogeny class |
Conductor |
18135 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
8640 |
Modular degree for the optimal curve |
Δ |
-18351404955 = -1 · 36 · 5 · 132 · 313 |
Discriminant |
Eigenvalues |
0 3- 5- 2 0 13- -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-282,-6768] |
[a1,a2,a3,a4,a6] |
Generators |
[30:108:1] |
Generators of the group modulo torsion |
j |
-3402072064/25173395 |
j-invariant |
L |
4.6020223653424 |
L(r)(E,1)/r! |
Ω |
0.51539169157505 |
Real period |
R |
1.488195754986 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2015a1 90675w1 |
Quadratic twists by: -3 5 |