Atkin-Lehner |
3+ 5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
29925i |
Isogeny class |
Conductor |
29925 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
39168 |
Modular degree for the optimal curve |
Δ |
-204518671875 = -1 · 39 · 57 · 7 · 19 |
Discriminant |
Eigenvalues |
2 3+ 5+ 7- 2 2 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-675,22781] |
[a1,a2,a3,a4,a6] |
Generators |
[-270:671:8] |
Generators of the group modulo torsion |
j |
-110592/665 |
j-invariant |
L |
12.133539589414 |
L(r)(E,1)/r! |
Ω |
0.86519175101975 |
Real period |
R |
1.7530130712517 |
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 |
29925j1 5985d1 |
Quadratic twists by: -3 5 |