Atkin-Lehner |
2- 3- 7+ 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
17094x |
Isogeny class |
Conductor |
17094 |
Conductor |
∏ cp |
288 |
Product of Tamagawa factors cp |
deg |
460800 |
Modular degree for the optimal curve |
Δ |
182187908888832 = 28 · 39 · 74 · 11 · 372 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ 11- 4 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-10830358,13717777700] |
[a1,a2,a3,a4,a6] |
Generators |
[1604:20954:1] |
Generators of the group modulo torsion |
j |
140492180287040918518806625/182187908888832 |
j-invariant |
L |
8.9734213755062 |
L(r)(E,1)/r! |
Ω |
0.36253653448994 |
Real period |
R |
0.34377460084935 |
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 |
51282i1 119658cp1 |
Quadratic twists by: -3 -7 |