Atkin-Lehner |
2- 3- 5- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
95370dw |
Isogeny class |
Conductor |
95370 |
Conductor |
∏ cp |
3510 |
Product of Tamagawa factors cp |
deg |
2246400 |
Modular degree for the optimal curve |
Δ |
-3295004995814400000 = -1 · 213 · 39 · 55 · 113 · 173 |
Discriminant |
Eigenvalues |
2- 3- 5- -3 11- -2 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-88270,87908612] |
[a1,a2,a3,a4,a6] |
Generators |
[1214:-42682:1] |
Generators of the group modulo torsion |
j |
-15481628265532337/670670668800000 |
j-invariant |
L |
12.436916369627 |
L(r)(E,1)/r! |
Ω |
0.20884364484395 |
Real period |
R |
0.016966190277073 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001151 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
95370bv1 |
Quadratic twists by: 17 |