Atkin-Lehner |
2+ 5+ 7- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
73150r |
Isogeny class |
Conductor |
73150 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
8046500000000 = 28 · 59 · 7 · 112 · 19 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7- 11- -4 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-10125,-371875] |
[a1,a2,a3,a4,a6] |
j |
7347774183121/514976000 |
j-invariant |
L |
3.824268431812 |
L(r)(E,1)/r! |
Ω |
0.47803355520345 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14630w1 |
Quadratic twists by: 5 |