Atkin-Lehner |
2+ 3+ 5+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
28830b |
Isogeny class |
Conductor |
28830 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
446400 |
Modular degree for the optimal curve |
Δ |
-1036262610490815000 = -1 · 23 · 35 · 54 · 318 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -3 -3 4 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-123508,51696712] |
[a1,a2,a3,a4,a6] |
Generators |
[1278:47411:8] |
Generators of the group modulo torsion |
j |
-244298569/1215000 |
j-invariant |
L |
2.2032229413077 |
L(r)(E,1)/r! |
Ω |
0.24015961600694 |
Real period |
R |
1.5289990451212 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86490cl1 28830q1 |
Quadratic twists by: -3 -31 |