Atkin-Lehner |
3- 5+ 11- 61- |
Signs for the Atkin-Lehner involutions |
Class |
110715m |
Isogeny class |
Conductor |
110715 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
921600 |
Modular degree for the optimal curve |
Δ |
-43870359739449375 = -1 · 310 · 54 · 117 · 61 |
Discriminant |
Eigenvalues |
1 3- 5+ 0 11- -2 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-243334,-47307493] |
[a1,a2,a3,a4,a6] |
j |
-899442534243889/24763674375 |
j-invariant |
L |
2.1460692580388 |
L(r)(E,1)/r! |
Ω |
0.10730348651758 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10065i1 |
Quadratic twists by: -11 |