Atkin-Lehner |
3+ 5- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
29925l |
Isogeny class |
Conductor |
29925 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
134400 |
Modular degree for the optimal curve |
Δ |
-1279640225390625 = -1 · 33 · 58 · 72 · 195 |
Discriminant |
Eigenvalues |
-1 3+ 5- 7+ -5 4 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,15445,1550572] |
[a1,a2,a3,a4,a6] |
Generators |
[-56:740:1] |
Generators of the group modulo torsion |
j |
38635809165/121328851 |
j-invariant |
L |
2.86534597158 |
L(r)(E,1)/r! |
Ω |
0.34158390617362 |
Real period |
R |
0.1398068390515 |
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 |
29925k1 29925g1 |
Quadratic twists by: -3 5 |