Atkin-Lehner |
2- 17- 101- |
Signs for the Atkin-Lehner involutions |
Class |
27472m |
Isogeny class |
Conductor |
27472 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
62400 |
Modular degree for the optimal curve |
Δ |
587389161472 = 212 · 175 · 101 |
Discriminant |
Eigenvalues |
2- 1 -4 -3 3 -1 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-9605,-363661] |
[a1,a2,a3,a4,a6] |
Generators |
[-58:41:1] [158:1445:1] |
Generators of the group modulo torsion |
j |
23927707242496/143405557 |
j-invariant |
L |
7.1594425085249 |
L(r)(E,1)/r! |
Ω |
0.48242322920404 |
Real period |
R |
2.9681168215462 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999988 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1717c1 109888w1 |
Quadratic twists by: -4 8 |