Atkin-Lehner |
3+ 5+ 11+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
110715b |
Isogeny class |
Conductor |
110715 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
236544 |
Modular degree for the optimal curve |
Δ |
-2157522137265 = -1 · 3 · 5 · 119 · 61 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 1 11+ 6 7 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1636,74438] |
[a1,a2,a3,a4,a6] |
j |
-205379/915 |
j-invariant |
L |
1.4330403835238 |
L(r)(E,1)/r! |
Ω |
0.71652071089722 |
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 |
110715a1 |
Quadratic twists by: -11 |