Atkin-Lehner |
2+ 3- 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
28830o |
Isogeny class |
Conductor |
28830 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
51840 |
Modular degree for the optimal curve |
Δ |
-5189400000000 = -1 · 29 · 33 · 58 · 312 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 3 1 0 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,4211,31112] |
[a1,a2,a3,a4,a6] |
Generators |
[278:3607:8] |
Generators of the group modulo torsion |
j |
8596156121591/5400000000 |
j-invariant |
L |
5.4580054495965 |
L(r)(E,1)/r! |
Ω |
0.47492834743281 |
Real period |
R |
1.9153785615238 |
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 |
86490cs1 28830a1 |
Quadratic twists by: -3 -31 |