Atkin-Lehner |
2+ 3+ 5- 31- |
Signs for the Atkin-Lehner involutions |
Class |
18600f |
Isogeny class |
Conductor |
18600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
14080 |
Modular degree for the optimal curve |
Δ |
-78468750000 = -1 · 24 · 34 · 59 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -2 0 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,917,7912] |
[a1,a2,a3,a4,a6] |
Generators |
[28:234:1] |
Generators of the group modulo torsion |
j |
2725888/2511 |
j-invariant |
L |
4.0522030829345 |
L(r)(E,1)/r! |
Ω |
0.70990902379417 |
Real period |
R |
2.8540298454562 |
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 |
37200z1 55800cg1 18600be1 |
Quadratic twists by: -4 -3 5 |