Atkin-Lehner |
2- 3- 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
68400eq |
Isogeny class |
Conductor |
68400 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
3.978205767936E+20 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 0 6 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-110808075,448956472250] |
[a1,a2,a3,a4,a6] |
Generators |
[30095:4936750:1] |
Generators of the group modulo torsion |
j |
3225005357698077121/8526675600 |
j-invariant |
L |
8.3139425441435 |
L(r)(E,1)/r! |
Ω |
0.1462736060377 |
Real period |
R |
7.1047870234211 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997335 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
8550bh2 22800bv2 13680bd2 |
Quadratic twists by: -4 -3 5 |