Atkin-Lehner |
2+ 5- 59- |
Signs for the Atkin-Lehner involutions |
Class |
34810d |
Isogeny class |
Conductor |
34810 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
6480 |
Modular degree for the optimal curve |
Δ |
-1113920 = -1 · 26 · 5 · 592 |
Discriminant |
Eigenvalues |
2+ 0 5- -5 2 -2 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,26,-12] |
[a1,a2,a3,a4,a6] |
Generators |
[4:10:1] |
Generators of the group modulo torsion |
j |
546399/320 |
j-invariant |
L |
3.1237791030892 |
L(r)(E,1)/r! |
Ω |
1.6200860160567 |
Real period |
R |
0.96407816379146 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34810o1 |
Quadratic twists by: -59 |