Atkin-Lehner |
2- 3- 5- 19+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
34770bg |
Isogeny class |
Conductor |
34770 |
Conductor |
∏ cp |
1078 |
Product of Tamagawa factors cp |
deg |
569184 |
Modular degree for the optimal curve |
Δ |
-300999543750000000 = -1 · 27 · 37 · 511 · 192 · 61 |
Discriminant |
Eigenvalues |
2- 3- 5- -5 0 1 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-32425,-26494375] |
[a1,a2,a3,a4,a6] |
Generators |
[1100:35075:1] |
Generators of the group modulo torsion |
j |
-3770200993291549201/300999543750000000 |
j-invariant |
L |
9.7202154663018 |
L(r)(E,1)/r! |
Ω |
0.13546540054644 |
Real period |
R |
0.066562365207134 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999991 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
104310m1 |
Quadratic twists by: -3 |