Atkin-Lehner |
2+ 3+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
22344i |
Isogeny class |
Conductor |
22344 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
105125935961088 = 210 · 38 · 77 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- -4 -2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-140352,-20185668] |
[a1,a2,a3,a4,a6] |
Generators |
[229287:21107240:27] |
Generators of the group modulo torsion |
j |
2538016415428/872613 |
j-invariant |
L |
4.5994314536166 |
L(r)(E,1)/r! |
Ω |
0.24666277121706 |
Real period |
R |
9.3233191026814 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
44688bb4 67032cs4 3192i4 |
Quadratic twists by: -4 -3 -7 |