Atkin-Lehner |
2+ 7- 13- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
52234m |
Isogeny class |
Conductor |
52234 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
479232 |
Modular degree for the optimal curve |
Δ |
387105703121772544 = 213 · 79 · 134 · 41 |
Discriminant |
Eigenvalues |
2+ -1 1 7- 0 13- 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-329452,66206288] |
[a1,a2,a3,a4,a6] |
Generators |
[433:2013:1] |
Generators of the group modulo torsion |
j |
33613518667426489/3290344185856 |
j-invariant |
L |
3.5921345424148 |
L(r)(E,1)/r! |
Ω |
0.29214636992099 |
Real period |
R |
0.76847920089706 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999584 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7462b1 |
Quadratic twists by: -7 |