Atkin-Lehner |
2+ 3+ 5- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
85800l |
Isogeny class |
Conductor |
85800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2779392 |
Modular degree for the optimal curve |
Δ |
-1774238790096630000 = -1 · 24 · 32 · 54 · 11 · 1311 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -5 11+ 13+ 2 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3249808,2256932437] |
[a1,a2,a3,a4,a6] |
j |
-379574436601074131200/177423879009663 |
j-invariant |
L |
1.0434037117792 |
L(r)(E,1)/r! |
Ω |
0.26085092156553 |
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 |
85800cv1 |
Quadratic twists by: 5 |