Atkin-Lehner |
2+ 3+ 7- 11+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
17094f |
Isogeny class |
Conductor |
17094 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
-3966902016 = -1 · 28 · 3 · 73 · 11 · 372 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- 11+ -6 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,39,3045] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:30:1] [2:55:1] |
Generators of the group modulo torsion |
j |
6300872423/3966902016 |
j-invariant |
L |
4.2744111082651 |
L(r)(E,1)/r! |
Ω |
1.084984382112 |
Real period |
R |
1.313202038892 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999975 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
51282br1 119658bj1 |
Quadratic twists by: -3 -7 |