Atkin-Lehner |
2- 3- 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
70644h |
Isogeny class |
Conductor |
70644 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
15120 |
Modular degree for the optimal curve |
Δ |
2543184 = 24 · 33 · 7 · 292 |
Discriminant |
Eigenvalues |
2- 3- -3 7+ 4 -4 7 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-77,-276] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:3:1] |
Generators of the group modulo torsion |
j |
3801088/189 |
j-invariant |
L |
6.2344769135522 |
L(r)(E,1)/r! |
Ω |
1.6149026684613 |
Real period |
R |
0.42895443212149 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997125 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
70644c1 |
Quadratic twists by: 29 |