Atkin-Lehner |
2+ 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
21824a |
Isogeny class |
Conductor |
21824 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
-56236432384 = -1 · 210 · 116 · 31 |
Discriminant |
Eigenvalues |
2+ 0 -1 -3 11+ -2 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3188,70216] |
[a1,a2,a3,a4,a6] |
Generators |
[114:1331:8] |
Generators of the group modulo torsion |
j |
-3499279992576/54918391 |
j-invariant |
L |
3.3457498696614 |
L(r)(E,1)/r! |
Ω |
1.1187449529692 |
Real period |
R |
1.4953139501464 |
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 |
21824v1 1364b1 |
Quadratic twists by: -4 8 |