Atkin-Lehner |
2+ 3+ 5- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
36600c |
Isogeny class |
Conductor |
36600 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
33408 |
Modular degree for the optimal curve |
Δ |
-307369728000 = -1 · 211 · 39 · 53 · 61 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -3 4 -1 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1672,3852] |
[a1,a2,a3,a4,a6] |
j |
2018054054/1200663 |
j-invariant |
L |
1.1830042267715 |
L(r)(E,1)/r! |
Ω |
0.59150211338504 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
73200bc1 109800ce1 36600be1 |
Quadratic twists by: -4 -3 5 |