Atkin-Lehner |
3- 7- 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
59241v |
Isogeny class |
Conductor |
59241 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
518400 |
Modular degree for the optimal curve |
Δ |
-2690476611778683 = -1 · 310 · 76 · 13 · 313 |
Discriminant |
Eigenvalues |
-2 3- -2 7- 1 13+ -8 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-21674,2774216] |
[a1,a2,a3,a4,a6] |
Generators |
[373:-6836:1] [-92:1999:1] |
Generators of the group modulo torsion |
j |
-9571339399168/22868673867 |
j-invariant |
L |
5.5733252775654 |
L(r)(E,1)/r! |
Ω |
0.40270796594541 |
Real period |
R |
0.23066033573047 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999769 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1209a1 |
Quadratic twists by: -7 |