Atkin-Lehner |
2- 3- 5+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
64350eb |
Isogeny class |
Conductor |
64350 |
Conductor |
∏ cp |
336 |
Product of Tamagawa factors cp |
Δ |
696711264678000000 = 27 · 38 · 56 · 11 · 136 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 11+ 13- -8 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1658705,821679297] |
[a1,a2,a3,a4,a6] |
Generators |
[479:11460:1] [-9506:271743:8] |
Generators of the group modulo torsion |
j |
44308125149913793/61165323648 |
j-invariant |
L |
13.513465998781 |
L(r)(E,1)/r! |
Ω |
0.28568801064268 |
Real period |
R |
0.56311286869228 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999745 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21450l2 2574f2 |
Quadratic twists by: -3 5 |