Atkin-Lehner |
2- 5+ 7+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
118720p |
Isogeny class |
Conductor |
118720 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
188160 |
Modular degree for the optimal curve |
Δ |
-4817435000000 = -1 · 26 · 57 · 73 · 532 |
Discriminant |
Eigenvalues |
2- -1 5+ 7+ -3 3 3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2931,-121019] |
[a1,a2,a3,a4,a6] |
Generators |
[1956:5507:27] |
Generators of the group modulo torsion |
j |
-43525057931776/75272421875 |
j-invariant |
L |
4.223519867149 |
L(r)(E,1)/r! |
Ω |
0.30645662276289 |
Real period |
R |
6.8908933710677 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000110135 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
118720q1 59360f1 |
Quadratic twists by: -4 8 |