Atkin-Lehner |
2- 3+ 7- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
74256cc |
Isogeny class |
Conductor |
74256 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
7156921157148672 = 213 · 32 · 7 · 138 · 17 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 0 13+ 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-192304,-32138432] |
[a1,a2,a3,a4,a6] |
Generators |
[-262:438:1] [-246:470:1] |
Generators of the group modulo torsion |
j |
192013151632280497/1747295204382 |
j-invariant |
L |
8.3780703856856 |
L(r)(E,1)/r! |
Ω |
0.22810814159258 |
Real period |
R |
18.364251111531 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000124 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9282s4 |
Quadratic twists by: -4 |