Atkin-Lehner |
2- 3+ 5+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
68970bo |
Isogeny class |
Conductor |
68970 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
-393145590043800 = -1 · 23 · 38 · 52 · 112 · 195 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 3 11- 1 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,2324,-952027] |
[a1,a2,a3,a4,a6] |
Generators |
[671:17079:1] |
Generators of the group modulo torsion |
j |
11471891565431/3249137107800 |
j-invariant |
L |
9.4321605369947 |
L(r)(E,1)/r! |
Ω |
0.25080393513165 |
Real period |
R |
3.133975460317 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000374 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
68970h1 |
Quadratic twists by: -11 |