Atkin-Lehner |
2- 3+ 19- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
93936f |
Isogeny class |
Conductor |
93936 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
-392631462383616 = -1 · 212 · 35 · 192 · 1033 |
Discriminant |
Eigenvalues |
2- 3+ 1 0 -6 -3 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,17080,-418896] |
[a1,a2,a3,a4,a6] |
Generators |
[25:152:1] |
Generators of the group modulo torsion |
j |
134524670164919/95857290621 |
j-invariant |
L |
4.1509035544992 |
L(r)(E,1)/r! |
Ω |
0.30060597130046 |
Real period |
R |
3.4521133525371 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000012008 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5871d1 |
Quadratic twists by: -4 |