Atkin-Lehner |
3- 5+ 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
101475br |
Isogeny class |
Conductor |
101475 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
497664 |
Modular degree for the optimal curve |
Δ |
12639369251953125 = 315 · 59 · 11 · 41 |
Discriminant |
Eigenvalues |
0 3- 5+ -2 11- 4 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-64200,-3153344] |
[a1,a2,a3,a4,a6] |
Generators |
[-170:1687:1] [490:-9113:1] |
Generators of the group modulo torsion |
j |
2569101377536/1109629125 |
j-invariant |
L |
9.5876587736892 |
L(r)(E,1)/r! |
Ω |
0.31192447902275 |
Real period |
R |
1.9210697256293 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000372 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33825b1 20295l1 |
Quadratic twists by: -3 5 |