Atkin-Lehner |
3- 5- 7- 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
33915r |
Isogeny class |
Conductor |
33915 |
Conductor |
∏ cp |
45 |
Product of Tamagawa factors cp |
deg |
64800 |
Modular degree for the optimal curve |
Δ |
-734904982875 = -1 · 3 · 53 · 75 · 17 · 193 |
Discriminant |
Eigenvalues |
-2 3- 5- 7- 3 -2 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,1420,-35266] |
[a1,a2,a3,a4,a6] |
Generators |
[96:-998:1] |
Generators of the group modulo torsion |
j |
316433801129984/734904982875 |
j-invariant |
L |
4.1835914697605 |
L(r)(E,1)/r! |
Ω |
0.46656552533212 |
Real period |
R |
0.19926182771824 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
101745z1 |
Quadratic twists by: -3 |