Atkin-Lehner |
2- 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
74008g |
Isogeny class |
Conductor |
74008 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
4800 |
Modular degree for the optimal curve |
Δ |
-148016 = -1 · 24 · 11 · 292 |
Discriminant |
Eigenvalues |
2- -1 -2 0 11+ -2 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-19,44] |
[a1,a2,a3,a4,a6] |
Generators |
[1:5:1] [4:4:1] |
Generators of the group modulo torsion |
j |
-59392/11 |
j-invariant |
L |
7.7056168963477 |
L(r)(E,1)/r! |
Ω |
3.1276219434336 |
Real period |
R |
1.2318651415799 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000046 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74008d1 |
Quadratic twists by: 29 |