Atkin-Lehner |
2- 3- 5+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
16830ci |
Isogeny class |
Conductor |
16830 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
74880 |
Modular degree for the optimal curve |
Δ |
-262984902138090 = -1 · 2 · 319 · 5 · 113 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5+ -3 11- -4 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,15907,-115473] |
[a1,a2,a3,a4,a6] |
Generators |
[4340:69969:64] |
Generators of the group modulo torsion |
j |
610641930681719/360747465210 |
j-invariant |
L |
6.2400095853515 |
L(r)(E,1)/r! |
Ω |
0.32347017207452 |
Real period |
R |
1.6075695494405 |
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 |
5610h1 84150ck1 |
Quadratic twists by: -3 5 |