Atkin-Lehner |
2- 3+ 7+ 11- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
17094s |
Isogeny class |
Conductor |
17094 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
Δ |
194207688347194368 = 210 · 310 · 72 · 116 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 2 7+ 11- 2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-154902,-10118637] |
[a1,a2,a3,a4,a6] |
Generators |
[-279:3527:1] |
Generators of the group modulo torsion |
j |
411050293632002943073/194207688347194368 |
j-invariant |
L |
7.2834192800179 |
L(r)(E,1)/r! |
Ω |
0.25202558033027 |
Real period |
R |
0.48165873152461 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
51282h2 119658cz2 |
Quadratic twists by: -3 -7 |