Atkin-Lehner |
2+ 5- 61- |
Signs for the Atkin-Lehner involutions |
Class |
97600bo |
Isogeny class |
Conductor |
97600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
499424165888000 = 230 · 53 · 612 |
Discriminant |
Eigenvalues |
2+ -2 5- -4 4 4 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6990913,-7116905697] |
[a1,a2,a3,a4,a6] |
Generators |
[-291655479495562:-1171999140047:191003460479] |
Generators of the group modulo torsion |
j |
1153122726940210853/15241216 |
j-invariant |
L |
3.8754803767985 |
L(r)(E,1)/r! |
Ω |
0.092846615130203 |
Real period |
R |
20.870337434329 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005143 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
97600cs2 3050k2 97600bj2 |
Quadratic twists by: -4 8 5 |