Atkin-Lehner |
2+ 3+ 11- 101- |
Signs for the Atkin-Lehner involutions |
Class |
26664a |
Isogeny class |
Conductor |
26664 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
43008 |
Modular degree for the optimal curve |
Δ |
3710243978496 = 28 · 34 · 116 · 101 |
Discriminant |
Eigenvalues |
2+ 3+ 3 0 11- -1 1 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4529,-70443] |
[a1,a2,a3,a4,a6] |
Generators |
[-31:198:1] |
Generators of the group modulo torsion |
j |
40140853015552/14493140541 |
j-invariant |
L |
6.0813724335798 |
L(r)(E,1)/r! |
Ω |
0.59945281481614 |
Real period |
R |
0.21135151241515 |
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 |
53328f1 79992m1 |
Quadratic twists by: -4 -3 |