Atkin-Lehner |
2- 3+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
17136r |
Isogeny class |
Conductor |
17136 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
-30426955776 = -1 · 215 · 33 · 7 · 173 |
Discriminant |
Eigenvalues |
2- 3+ -3 7+ 3 5 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,261,8234] |
[a1,a2,a3,a4,a6] |
Generators |
[7:102:1] |
Generators of the group modulo torsion |
j |
17779581/275128 |
j-invariant |
L |
4.1008392161664 |
L(r)(E,1)/r! |
Ω |
0.87275389596528 |
Real period |
R |
0.39156124415719 |
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 |
2142n1 68544da1 17136o2 119952ct1 |
Quadratic twists by: -4 8 -3 -7 |