Atkin-Lehner |
3+ 5- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
1185c |
Isogeny class |
Conductor |
1185 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
23760 |
Modular degree for the optimal curve |
Δ |
-946339079711203125 = -1 · 39 · 56 · 795 |
Discriminant |
Eigenvalues |
-1 3+ 5- 5 1 3 -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,129520,43282550] |
[a1,a2,a3,a4,a6] |
j |
240289066260405262079/946339079711203125 |
j-invariant |
L |
1.192985089788 |
L(r)(E,1)/r! |
Ω |
0.19883084829799 |
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 |
18960z1 75840z1 3555c1 5925f1 |
Quadratic twists by: -4 8 -3 5 |