Atkin-Lehner |
2+ 3+ 5+ 7- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
30030c |
Isogeny class |
Conductor |
30030 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
40960 |
Modular degree for the optimal curve |
Δ |
345392087040 = 216 · 34 · 5 · 7 · 11 · 132 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 11+ 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2123,23997] |
[a1,a2,a3,a4,a6] |
Generators |
[47:152:1] |
Generators of the group modulo torsion |
j |
1058993490188089/345392087040 |
j-invariant |
L |
2.9657699074921 |
L(r)(E,1)/r! |
Ω |
0.88536720598769 |
Real period |
R |
1.6748812738007 |
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 |
90090dz1 |
Quadratic twists by: -3 |