Atkin-Lehner |
2+ 3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
101640bd |
Isogeny class |
Conductor |
101640 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
1571445469440 = 28 · 32 · 5 · 7 · 117 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 11- -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-139916,20097504] |
[a1,a2,a3,a4,a6] |
j |
667932971344/3465 |
j-invariant |
L |
2.9979363443022 |
L(r)(E,1)/r! |
Ω |
0.74948403304669 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9240bb1 |
Quadratic twists by: -11 |