Atkin-Lehner |
2+ 3- 11+ 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
59202f |
Isogeny class |
Conductor |
59202 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2027520 |
Modular degree for the optimal curve |
Δ |
-6.9342815586232E+20 |
Discriminant |
Eigenvalues |
2+ 3- -1 -1 11+ 13+ -2 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,2179530,-267568268] |
[a1,a2,a3,a4,a6] |
j |
1570668830493955051679/951204603377673216 |
j-invariant |
L |
0.37401549039183 |
L(r)(E,1)/r! |
Ω |
0.093503872756379 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19734o1 |
Quadratic twists by: -3 |