Atkin-Lehner |
2- 7+ 13- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
17108d |
Isogeny class |
Conductor |
17108 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
deg |
30240 |
Modular degree for the optimal curve |
Δ |
-1532317299968 = -1 · 28 · 73 · 135 · 47 |
Discriminant |
Eigenvalues |
2- -1 -2 7+ 6 13- -4 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2644,80168] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:338:1] |
Generators of the group modulo torsion |
j |
-7987894963792/5985614453 |
j-invariant |
L |
3.223666685237 |
L(r)(E,1)/r! |
Ω |
0.77918291344164 |
Real period |
R |
0.27581599729885 |
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 |
68432w1 119756b1 |
Quadratic twists by: -4 -7 |