Atkin-Lehner |
2- 3+ 7+ 11- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
30954r |
Isogeny class |
Conductor |
30954 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
700736652 = 22 · 32 · 74 · 112 · 67 |
Discriminant |
Eigenvalues |
2- 3+ 0 7+ 11- 0 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1463,-22111] |
[a1,a2,a3,a4,a6] |
Generators |
[51:172:1] |
Generators of the group modulo torsion |
j |
346318142640625/700736652 |
j-invariant |
L |
6.8011895120896 |
L(r)(E,1)/r! |
Ω |
0.77203985330934 |
Real period |
R |
2.2023440509374 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
92862g2 |
Quadratic twists by: -3 |