Atkin-Lehner |
5+ 7+ 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
11305a |
Isogeny class |
Conductor |
11305 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
127803025 = 52 · 72 · 172 · 192 |
Discriminant |
Eigenvalues |
-1 0 5+ 7+ -4 6 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-228,1262] |
[a1,a2,a3,a4,a6] |
Generators |
[2:27:1] |
Generators of the group modulo torsion |
j |
1305392995089/127803025 |
j-invariant |
L |
2.0879933175699 |
L(r)(E,1)/r! |
Ω |
1.8017968032579 |
Real period |
R |
1.1588395060944 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
101745ba2 56525q2 79135bd2 |
Quadratic twists by: -3 5 -7 |