Atkin-Lehner |
2- 7- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
110656bt |
Isogeny class |
Conductor |
110656 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
215040 |
Modular degree for the optimal curve |
Δ |
-5552275456 = -1 · 216 · 73 · 13 · 19 |
Discriminant |
Eigenvalues |
2- 2 -3 7- -5 13- -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-10977,-439039] |
[a1,a2,a3,a4,a6] |
Generators |
[407:7896:1] |
Generators of the group modulo torsion |
j |
-2232206341348/84721 |
j-invariant |
L |
5.8156313334545 |
L(r)(E,1)/r! |
Ω |
0.23320849004998 |
Real period |
R |
4.156246118575 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000075522 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
110656j1 27664f1 |
Quadratic twists by: -4 8 |