Atkin-Lehner |
2+ 7- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
30016r |
Isogeny class |
Conductor |
30016 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
94130176 = 212 · 73 · 67 |
Discriminant |
Eigenvalues |
2+ -1 -1 7- -6 1 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-281,1849] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:56:1] [0:43:1] |
Generators of the group modulo torsion |
j |
601211584/22981 |
j-invariant |
L |
6.5380454587088 |
L(r)(E,1)/r! |
Ω |
1.8862384936323 |
Real period |
R |
0.57769695974107 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30016i1 15008g1 |
Quadratic twists by: -4 8 |