Atkin-Lehner |
2- 5+ 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
95680bg |
Isogeny class |
Conductor |
95680 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
103680 |
Modular degree for the optimal curve |
Δ |
-485875000000 = -1 · 26 · 59 · 132 · 23 |
Discriminant |
Eigenvalues |
2- -2 5+ 1 0 13+ 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2341,-55791] |
[a1,a2,a3,a4,a6] |
Generators |
[11720:93353:125] |
Generators of the group modulo torsion |
j |
-22178567028736/7591796875 |
j-invariant |
L |
4.5555962466283 |
L(r)(E,1)/r! |
Ω |
0.33733315912048 |
Real period |
R |
6.7523694755207 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999850208 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
95680d1 23920w1 |
Quadratic twists by: -4 8 |