Atkin-Lehner |
2- 3+ 7- 29- 31- |
Signs for the Atkin-Lehner involutions |
Class |
113274bi |
Isogeny class |
Conductor |
113274 |
Conductor |
∏ cp |
216 |
Product of Tamagawa factors cp |
Δ |
128039092088749632 = 26 · 39 · 76 · 29 · 313 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- -6 2 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-461270,-119230811] |
[a1,a2,a3,a4,a6] |
Generators |
[-413:1043:1] |
Generators of the group modulo torsion |
j |
551438605013542875/6505059802304 |
j-invariant |
L |
11.035014691218 |
L(r)(E,1)/r! |
Ω |
0.18332451181736 |
Real period |
R |
1.1147015835651 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000013816 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
113274g1 |
Quadratic twists by: -3 |