Atkin-Lehner |
2- 3- 7- 29- 31- |
Signs for the Atkin-Lehner involutions |
Class |
113274bw |
Isogeny class |
Conductor |
113274 |
Conductor |
∏ cp |
600 |
Product of Tamagawa factors cp |
deg |
1574400 |
Modular degree for the optimal curve |
Δ |
-33566828033507328 = -1 · 215 · 37 · 75 · 29 · 312 |
Discriminant |
Eigenvalues |
2- 3- -4 7- -3 -3 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-77702,12152085] |
[a1,a2,a3,a4,a6] |
Generators |
[1457:-55413:1] [155:-2031:1] |
Generators of the group modulo torsion |
j |
-71168454723419929/46045031596032 |
j-invariant |
L |
13.659930756122 |
L(r)(E,1)/r! |
Ω |
0.34044676515669 |
Real period |
R |
0.066872573322635 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999977198 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37758f1 |
Quadratic twists by: -3 |