Atkin-Lehner |
2+ 3+ 5- 53- |
Signs for the Atkin-Lehner involutions |
Class |
31800l |
Isogeny class |
Conductor |
31800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
14400 |
Modular degree for the optimal curve |
Δ |
-12134880000 = -1 · 28 · 33 · 54 · 532 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -1 0 1 4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,367,4437] |
[a1,a2,a3,a4,a6] |
Generators |
[13:-106:1] |
Generators of the group modulo torsion |
j |
34073600/75843 |
j-invariant |
L |
4.4972634252679 |
L(r)(E,1)/r! |
Ω |
0.88111305850788 |
Real period |
R |
0.63800884884225 |
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 |
63600bc1 95400bg1 31800w1 |
Quadratic twists by: -4 -3 5 |