Atkin-Lehner |
3+ 5- 7- 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
33915k |
Isogeny class |
Conductor |
33915 |
Conductor |
∏ cp |
25 |
Product of Tamagawa factors cp |
deg |
68000 |
Modular degree for the optimal curve |
Δ |
-2762397946875 = -1 · 3 · 55 · 7 · 17 · 195 |
Discriminant |
Eigenvalues |
0 3+ 5- 7- -5 0 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-15335,740423] |
[a1,a2,a3,a4,a6] |
Generators |
[289:4512:1] |
Generators of the group modulo torsion |
j |
-398844284797812736/2762397946875 |
j-invariant |
L |
3.5461456049331 |
L(r)(E,1)/r! |
Ω |
0.81120187367585 |
Real period |
R |
0.17485884685468 |
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 |
101745s1 |
Quadratic twists by: -3 |