Atkin-Lehner |
7- 11- 73- |
Signs for the Atkin-Lehner involutions |
Class |
61831f |
Isogeny class |
Conductor |
61831 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
57600 |
Modular degree for the optimal curve |
Δ |
487939274669 = 73 · 117 · 73 |
Discriminant |
Eigenvalues |
1 2 1 7- 11- 4 -2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2422,30243] |
[a1,a2,a3,a4,a6] |
j |
887503681/275429 |
j-invariant |
L |
5.1784321879338 |
L(r)(E,1)/r! |
Ω |
0.86307203124451 |
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 |
5621a1 |
Quadratic twists by: -11 |