Atkin-Lehner |
2+ 3- 5+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
30450bg |
Isogeny class |
Conductor |
30450 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
1975680 |
Modular degree for the optimal curve |
Δ |
-4.54616064E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -5 -2 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-18181901,-29843842552] |
[a1,a2,a3,a4,a6] |
Generators |
[8622:669751:1] |
Generators of the group modulo torsion |
j |
-42542354080718101165249/2909542809600000 |
j-invariant |
L |
4.8622985624581 |
L(r)(E,1)/r! |
Ω |
0.036555940152188 |
Real period |
R |
4.7503502676949 |
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 |
91350fa1 6090q1 |
Quadratic twists by: -3 5 |