Atkin-Lehner |
3- 5+ 19+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
101175i |
Isogeny class |
Conductor |
101175 |
Conductor |
∏ cp |
19 |
Product of Tamagawa factors cp |
deg |
705888 |
Modular degree for the optimal curve |
Δ |
14150213738821575 = 319 · 52 · 193 · 71 |
Discriminant |
Eigenvalues |
-1 3- 5+ -1 6 -3 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-76578,5805117] |
[a1,a2,a3,a4,a6] |
Generators |
[-69:3315:1] |
Generators of the group modulo torsion |
j |
1986534522657564745/566008549552863 |
j-invariant |
L |
4.9948410539848 |
L(r)(E,1)/r! |
Ω |
0.36852947803931 |
Real period |
R |
0.7133387866961 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000020391 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
101175f1 |
Quadratic twists by: 5 |