Atkin-Lehner |
2+ 3- 5+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
84600u |
Isogeny class |
Conductor |
84600 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
350208 |
Modular degree for the optimal curve |
Δ |
47365171200 = 211 · 39 · 52 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 5 0 -5 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-112035,-14433730] |
[a1,a2,a3,a4,a6] |
Generators |
[-880541567878:6678635913:4557782312] |
Generators of the group modulo torsion |
j |
4166653427090/1269 |
j-invariant |
L |
8.3499114457258 |
L(r)(E,1)/r! |
Ω |
0.26095230238346 |
Real period |
R |
15.998922733121 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28200v1 84600cc1 |
Quadratic twists by: -3 5 |