Atkin-Lehner |
2- 3- 7- 79- |
Signs for the Atkin-Lehner involutions |
Class |
69678bw |
Isogeny class |
Conductor |
69678 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
1032192 |
Modular degree for the optimal curve |
Δ |
19915486111628352 = 26 · 314 · 77 · 79 |
Discriminant |
Eigenvalues |
2- 3- -4 7- 0 -4 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-100337,-10150815] |
[a1,a2,a3,a4,a6] |
Generators |
[-229:996:1] |
Generators of the group modulo torsion |
j |
1302528459961/232206912 |
j-invariant |
L |
5.3024271834624 |
L(r)(E,1)/r! |
Ω |
0.27152902061178 |
Real period |
R |
1.6273359327935 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999981314 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23226i1 9954f1 |
Quadratic twists by: -3 -7 |