Atkin-Lehner |
2+ 3+ 5- 7- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
30030f |
Isogeny class |
Conductor |
30030 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-70937298432000 = -1 · 212 · 32 · 53 · 72 · 11 · 134 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 11+ 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,9028,-231216] |
[a1,a2,a3,a4,a6] |
Generators |
[88:-1164:1] |
Generators of the group modulo torsion |
j |
81362296193000759/70937298432000 |
j-invariant |
L |
3.6893661202691 |
L(r)(E,1)/r! |
Ω |
0.33891802508399 |
Real period |
R |
0.90714318488342 |
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 |
90090dd1 |
Quadratic twists by: -3 |