Atkin-Lehner |
3+ 5- 7+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
38325c |
Isogeny class |
Conductor |
38325 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
172800 |
Modular degree for the optimal curve |
Δ |
-2200603979534625 = -1 · 315 · 53 · 75 · 73 |
Discriminant |
Eigenvalues |
1 3+ 5- 7+ -4 -2 5 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,22335,-1846350] |
[a1,a2,a3,a4,a6] |
j |
9856918984708531/17604831836277 |
j-invariant |
L |
0.48495857134206 |
L(r)(E,1)/r! |
Ω |
0.24247928566861 |
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 |
114975bg1 38325r1 |
Quadratic twists by: -3 5 |