Atkin-Lehner |
2+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
11858a |
Isogeny class |
Conductor |
11858 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
731808 |
Modular degree for the optimal curve |
Δ |
2.7838667175986E+19 |
Discriminant |
Eigenvalues |
2+ 1 4 7+ 11+ -3 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-7352084,7668161554] |
[a1,a2,a3,a4,a6] |
Generators |
[-22236:3109007:27] |
Generators of the group modulo torsion |
j |
3233229419/2048 |
j-invariant |
L |
4.9933619310399 |
L(r)(E,1)/r! |
Ω |
0.20826101727315 |
Real period |
R |
3.9960766513261 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
94864bd1 106722fl1 11858g1 11858v1 |
Quadratic twists by: -4 -3 -7 -11 |