Atkin-Lehner |
2+ 3- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
79200ch |
Isogeny class |
Conductor |
79200 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
267264 |
Modular degree for the optimal curve |
Δ |
-2794461120000 = -1 · 29 · 38 · 54 · 113 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 11- 7 0 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-59475,-5583350] |
[a1,a2,a3,a4,a6] |
j |
-99735451400/11979 |
j-invariant |
L |
2.7514099761633 |
L(r)(E,1)/r! |
Ω |
0.15285611482819 |
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 |
79200cb1 26400cd1 79200ea1 |
Quadratic twists by: -4 -3 5 |