Atkin-Lehner |
2- 3+ 7- 79- |
Signs for the Atkin-Lehner involutions |
Class |
69678u |
Isogeny class |
Conductor |
69678 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
1058400 |
Modular degree for the optimal curve |
Δ |
-1263575406722678784 = -1 · 221 · 33 · 710 · 79 |
Discriminant |
Eigenvalues |
2- 3+ 3 7- 0 4 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,262459,15634749] |
[a1,a2,a3,a4,a6] |
j |
262159444701/165675008 |
j-invariant |
L |
7.1055972068088 |
L(r)(E,1)/r! |
Ω |
0.16918088617931 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
69678d2 69678s1 |
Quadratic twists by: -3 -7 |