Atkin-Lehner |
2- 3- 5- 11- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
78210bq |
Isogeny class |
Conductor |
78210 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
133120 |
Modular degree for the optimal curve |
Δ |
1672442640 = 24 · 37 · 5 · 112 · 79 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 11- 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-26897,1704561] |
[a1,a2,a3,a4,a6] |
Generators |
[2399:116016:1] |
Generators of the group modulo torsion |
j |
2951838380347849/2294160 |
j-invariant |
L |
11.883539013329 |
L(r)(E,1)/r! |
Ω |
1.2445253296275 |
Real period |
R |
4.7743258940241 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994191 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
26070a1 |
Quadratic twists by: -3 |