Atkin-Lehner |
3+ 5- 11- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
110715f |
Isogeny class |
Conductor |
110715 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
13348756424025 = 34 · 52 · 116 · 612 |
Discriminant |
Eigenvalues |
-1 3+ 5- 0 11- 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-7565,-185470] |
[a1,a2,a3,a4,a6] |
Generators |
[98:113:1] |
Generators of the group modulo torsion |
j |
27027009001/7535025 |
j-invariant |
L |
4.3638308024335 |
L(r)(E,1)/r! |
Ω |
0.52269737431603 |
Real period |
R |
4.1743378239124 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999136065 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
915b2 |
Quadratic twists by: -11 |