Atkin-Lehner |
3+ 5+ 7+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
30975b |
Isogeny class |
Conductor |
30975 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
52704 |
Modular degree for the optimal curve |
Δ |
368819325 = 36 · 52 · 73 · 59 |
Discriminant |
Eigenvalues |
0 3+ 5+ 7+ 6 -2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-33773,2400218] |
[a1,a2,a3,a4,a6] |
Generators |
[98:148:1] |
Generators of the group modulo torsion |
j |
170414083271557120/14752773 |
j-invariant |
L |
4.0649961710478 |
L(r)(E,1)/r! |
Ω |
1.2986839618629 |
Real period |
R |
1.5650444182034 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
92925k1 30975x1 |
Quadratic twists by: -3 5 |