Atkin-Lehner |
2+ 3- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
34914k |
Isogeny class |
Conductor |
34914 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
370944 |
Modular degree for the optimal curve |
Δ |
-27630934802606916 = -1 · 22 · 36 · 112 · 238 |
Discriminant |
Eigenvalues |
2+ 3- 1 2 11+ -3 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-218753,-40202296] |
[a1,a2,a3,a4,a6] |
Generators |
[573:4474:1] |
Generators of the group modulo torsion |
j |
-14782919881/352836 |
j-invariant |
L |
5.924121186567 |
L(r)(E,1)/r! |
Ω |
0.11022206454473 |
Real period |
R |
0.74648811256071 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
104742cf1 34914q1 |
Quadratic twists by: -3 -23 |