Atkin-Lehner |
2+ 5- 7+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
115150u |
Isogeny class |
Conductor |
115150 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1088640 |
Modular degree for the optimal curve |
Δ |
-423352573437500 = -1 · 22 · 58 · 78 · 47 |
Discriminant |
Eigenvalues |
2+ -3 5- 7+ -2 -6 3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,18758,-51584] |
[a1,a2,a3,a4,a6] |
j |
324135/188 |
j-invariant |
L |
0.62965371714951 |
L(r)(E,1)/r! |
Ω |
0.31482580903901 |
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 |
115150bp1 115150bg1 |
Quadratic twists by: 5 -7 |