Atkin-Lehner |
2- 3+ 23+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
102672y |
Isogeny class |
Conductor |
102672 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
32768 |
Modular degree for the optimal curve |
Δ |
78852096 = 212 · 33 · 23 · 31 |
Discriminant |
Eigenvalues |
2- 3+ -1 3 5 -2 -8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-243,1394] |
[a1,a2,a3,a4,a6] |
Generators |
[7:6:1] |
Generators of the group modulo torsion |
j |
14348907/713 |
j-invariant |
L |
7.5012384197006 |
L(r)(E,1)/r! |
Ω |
1.9056321583436 |
Real period |
R |
0.98408792956073 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999998488 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6417d1 102672bd1 |
Quadratic twists by: -4 -3 |