Atkin-Lehner |
2- 3+ 5+ 17+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
30090f |
Isogeny class |
Conductor |
30090 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
96000 |
Modular degree for the optimal curve |
Δ |
-338512500000 = -1 · 25 · 33 · 58 · 17 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 5 2 -6 17+ -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-6826,216023] |
[a1,a2,a3,a4,a6] |
Generators |
[-29:639:1] |
Generators of the group modulo torsion |
j |
-35174387234540449/338512500000 |
j-invariant |
L |
7.762880665411 |
L(r)(E,1)/r! |
Ω |
0.9656631442086 |
Real period |
R |
0.80389116142284 |
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 |
90270l1 |
Quadratic twists by: -3 |