Atkin-Lehner |
2+ 3+ 23- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
34362a |
Isogeny class |
Conductor |
34362 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
33408 |
Modular degree for the optimal curve |
Δ |
-153906573312 = -1 · 212 · 39 · 23 · 83 |
Discriminant |
Eigenvalues |
2+ 3+ 0 -2 -4 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,498,18260] |
[a1,a2,a3,a4,a6] |
Generators |
[7:145:1] [326:2429:8] |
Generators of the group modulo torsion |
j |
693154125/7819264 |
j-invariant |
L |
6.1330752250339 |
L(r)(E,1)/r! |
Ω |
0.75658855739136 |
Real period |
R |
8.106222550047 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34362g1 |
Quadratic twists by: -3 |