Atkin-Lehner |
2+ 3- 7+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
70224u |
Isogeny class |
Conductor |
70224 |
Conductor |
∏ cp |
648 |
Product of Tamagawa factors cp |
deg |
476928 |
Modular degree for the optimal curve |
Δ |
-18032510059812864 = -1 · 211 · 39 · 72 · 113 · 193 |
Discriminant |
Eigenvalues |
2+ 3- -1 7+ 11- -6 -5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,11144,6448628] |
[a1,a2,a3,a4,a6] |
Generators |
[-166:228:1] [74:-2772:1] |
Generators of the group modulo torsion |
j |
74727094803982/8804936552643 |
j-invariant |
L |
11.338293843586 |
L(r)(E,1)/r! |
Ω |
0.29809176888243 |
Real period |
R |
0.058697920805238 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35112c1 |
Quadratic twists by: -4 |