Atkin-Lehner |
2- 3- 7- 79- |
Signs for the Atkin-Lehner involutions |
Class |
69678bm |
Isogeny class |
Conductor |
69678 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
946176 |
Modular degree for the optimal curve |
Δ |
12047639746540608 = 26 · 310 · 79 · 79 |
Discriminant |
Eigenvalues |
2- 3- 2 7- -4 2 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-403304,-98339349] |
[a1,a2,a3,a4,a6] |
Generators |
[80180:2321433:64] |
Generators of the group modulo torsion |
j |
246609840511/409536 |
j-invariant |
L |
11.472933403815 |
L(r)(E,1)/r! |
Ω |
0.18946754377849 |
Real period |
R |
5.0461296142388 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000056 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23226h1 69678bq1 |
Quadratic twists by: -3 -7 |