Atkin-Lehner |
2- 3+ 7- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
61446cc |
Isogeny class |
Conductor |
61446 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
deg |
1340640 |
Modular degree for the optimal curve |
Δ |
499931863772118624 = 25 · 37 · 710 · 113 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 1 7- 11- 4 -7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-576290,164675279] |
[a1,a2,a3,a4,a6] |
j |
74931876714289/1769825376 |
j-invariant |
L |
4.4059339288103 |
L(r)(E,1)/r! |
Ω |
0.29372892892715 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61446cr1 |
Quadratic twists by: -7 |