Atkin-Lehner |
2- 5- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
21440ba |
Isogeny class |
Conductor |
21440 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-13825281095680000 = -1 · 214 · 54 · 675 |
Discriminant |
Eigenvalues |
2- -2 5- -2 0 -2 -1 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-26165,-5895725] |
[a1,a2,a3,a4,a6] |
Generators |
[310:3985:1] |
Generators of the group modulo torsion |
j |
-120915670441984/843828191875 |
j-invariant |
L |
3.2527697905165 |
L(r)(E,1)/r! |
Ω |
0.16657961328528 |
Real period |
R |
4.8817044990761 |
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 |
21440o1 5360l1 107200cn1 |
Quadratic twists by: -4 8 5 |