Atkin-Lehner |
2+ 3+ 7- 29- 31- |
Signs for the Atkin-Lehner involutions |
Class |
113274i |
Isogeny class |
Conductor |
113274 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
-464141708821717416 = -1 · 23 · 39 · 76 · 292 · 313 |
Discriminant |
Eigenvalues |
2+ 3+ -3 7- -3 -7 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,99399,30453173] |
[a1,a2,a3,a4,a6] |
Generators |
[-163:3228:1] [649:18859:1] |
Generators of the group modulo torsion |
j |
5517927723968829/23580841783352 |
j-invariant |
L |
6.6339400991322 |
L(r)(E,1)/r! |
Ω |
0.2116597305658 |
Real period |
R |
0.43531217173976 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999945671 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113274bg1 |
Quadratic twists by: -3 |