Atkin-Lehner |
2- 5- 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
31280u |
Isogeny class |
Conductor |
31280 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
466560 |
Modular degree for the optimal curve |
Δ |
-847212544000000000 = -1 · 221 · 59 · 17 · 233 |
Discriminant |
Eigenvalues |
2- 2 5- -2 6 -1 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1080,44284400] |
[a1,a2,a3,a4,a6] |
Generators |
[-310:3750:1] |
Generators of the group modulo torsion |
j |
33980740919/206839000000000 |
j-invariant |
L |
8.574138495276 |
L(r)(E,1)/r! |
Ω |
0.22344251245008 |
Real period |
R |
2.1318281033103 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3910f1 125120bm1 |
Quadratic twists by: -4 8 |