Atkin-Lehner |
2+ 5+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
35360c |
Isogeny class |
Conductor |
35360 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-5001318400 = -1 · 212 · 52 · 132 · 172 |
Discriminant |
Eigenvalues |
2+ -2 5+ 0 0 13- 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-161,3439] |
[a1,a2,a3,a4,a6] |
Generators |
[7:-52:1] [-6:65:1] |
Generators of the group modulo torsion |
j |
-113379904/1221025 |
j-invariant |
L |
6.1137043935522 |
L(r)(E,1)/r! |
Ω |
1.1628087218805 |
Real period |
R |
0.65721303496766 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35360i2 70720l1 |
Quadratic twists by: -4 8 |