Atkin-Lehner |
2+ 3- 7- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
19824j |
Isogeny class |
Conductor |
19824 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
515800656 = 24 · 33 · 73 · 592 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 2 -4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3067,-66400] |
[a1,a2,a3,a4,a6] |
Generators |
[68:210:1] |
Generators of the group modulo torsion |
j |
199474163304448/32237541 |
j-invariant |
L |
7.4439592126373 |
L(r)(E,1)/r! |
Ω |
0.64152490762294 |
Real period |
R |
2.5785641971303 |
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 |
9912a1 79296bs1 59472u1 |
Quadratic twists by: -4 8 -3 |