Atkin-Lehner |
2+ 3- 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
34650r |
Isogeny class |
Conductor |
34650 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
331776 |
Modular degree for the optimal curve |
Δ |
-4717136655000000 = -1 · 26 · 36 · 57 · 76 · 11 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 11- -2 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-205542,-35967884] |
[a1,a2,a3,a4,a6] |
Generators |
[929:23498:1] |
Generators of the group modulo torsion |
j |
-84309998289049/414124480 |
j-invariant |
L |
3.561279641379 |
L(r)(E,1)/r! |
Ω |
0.11207705695239 |
Real period |
R |
3.9719097492135 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3850o1 6930bk1 |
Quadratic twists by: -3 5 |