Atkin-Lehner |
3+ 5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
29925g |
Isogeny class |
Conductor |
29925 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
26880 |
Modular degree for the optimal curve |
Δ |
-81896974425 = -1 · 33 · 52 · 72 · 195 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7- -5 -4 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,618,12281] |
[a1,a2,a3,a4,a6] |
Generators |
[8:-137:1] |
Generators of the group modulo torsion |
j |
38635809165/121328851 |
j-invariant |
L |
5.5250081839187 |
L(r)(E,1)/r! |
Ω |
0.76380483422412 |
Real period |
R |
0.36167669647778 |
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 |
29925h1 29925l1 |
Quadratic twists by: -3 5 |