Atkin-Lehner |
3- 5- 7+ 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
33915o |
Isogeny class |
Conductor |
33915 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
6624 |
Modular degree for the optimal curve |
Δ |
-7630875 = -1 · 33 · 53 · 7 · 17 · 19 |
Discriminant |
Eigenvalues |
0 3- 5- 7+ 5 0 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-5,131] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:7:1] |
Generators of the group modulo torsion |
j |
-16777216/7630875 |
j-invariant |
L |
6.620139674134 |
L(r)(E,1)/r! |
Ω |
1.9011500511415 |
Real period |
R |
0.38690847913986 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
101745l1 |
Quadratic twists by: -3 |