Atkin-Lehner |
2- 5- 13+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
34450w |
Isogeny class |
Conductor |
34450 |
Conductor |
∏ cp |
156 |
Product of Tamagawa factors cp |
deg |
324480 |
Modular degree for the optimal curve |
Δ |
-1519107200000000 = -1 · 213 · 58 · 132 · 532 |
Discriminant |
Eigenvalues |
2- -3 5- -2 -3 13+ 1 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-7680,1894947] |
[a1,a2,a3,a4,a6] |
Generators |
[69:-1335:1] [125:1633:1] |
Generators of the group modulo torsion |
j |
-128231381745/3888914432 |
j-invariant |
L |
7.6393256722159 |
L(r)(E,1)/r! |
Ω |
0.39829233237732 |
Real period |
R |
0.12294998517313 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34450i1 |
Quadratic twists by: 5 |