Atkin-Lehner |
2+ 3- 7- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
30282l |
Isogeny class |
Conductor |
30282 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
5760 |
Modular degree for the optimal curve |
Δ |
2180304 = 24 · 33 · 72 · 103 |
Discriminant |
Eigenvalues |
2+ 3- 1 7- 4 -5 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-33,4] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:6:1] |
Generators of the group modulo torsion |
j |
77626969/44496 |
j-invariant |
L |
5.3692532199994 |
L(r)(E,1)/r! |
Ω |
2.225792089976 |
Real period |
R |
0.40204812511317 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
90846dc1 30282a1 |
Quadratic twists by: -3 -7 |