Atkin-Lehner |
3+ 5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
29925j |
Isogeny class |
Conductor |
29925 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
13056 |
Modular degree for the optimal curve |
Δ |
-280546875 = -1 · 33 · 57 · 7 · 19 |
Discriminant |
Eigenvalues |
-2 3+ 5+ 7- -2 2 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-75,-844] |
[a1,a2,a3,a4,a6] |
Generators |
[15:37:1] |
Generators of the group modulo torsion |
j |
-110592/665 |
j-invariant |
L |
2.6887866366188 |
L(r)(E,1)/r! |
Ω |
0.72553899754804 |
Real period |
R |
0.9264790196342 |
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 |
29925i1 5985a1 |
Quadratic twists by: -3 5 |