Atkin-Lehner |
2- 3+ 5+ 11- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
17490u |
Isogeny class |
Conductor |
17490 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
56640 |
Modular degree for the optimal curve |
Δ |
-512142180 = -1 · 22 · 3 · 5 · 115 · 53 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 11- -5 -8 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-19721,-1074181] |
[a1,a2,a3,a4,a6] |
Generators |
[191:1378:1] |
Generators of the group modulo torsion |
j |
-848226600318144529/512142180 |
j-invariant |
L |
6.7334632138407 |
L(r)(E,1)/r! |
Ω |
0.20143604936492 |
Real period |
R |
3.3427299805918 |
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 |
52470k1 87450bd1 |
Quadratic twists by: -3 5 |