Atkin-Lehner |
2+ 3- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
107712cd |
Isogeny class |
Conductor |
107712 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
393216 |
Modular degree for the optimal curve |
Δ |
7290196328448 = 220 · 37 · 11 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 0 2 11- -4 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-114060,-14826256] |
[a1,a2,a3,a4,a6] |
j |
858729462625/38148 |
j-invariant |
L |
2.0782955818046 |
L(r)(E,1)/r! |
Ω |
0.25978697351591 |
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 |
107712dt1 3366d1 35904b1 |
Quadratic twists by: -4 8 -3 |