Atkin-Lehner |
2+ 3- 5- 13+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
50310y |
Isogeny class |
Conductor |
50310 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
-193790063001600 = -1 · 214 · 39 · 52 · 13 · 432 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 -4 13+ -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-82494,-9123692] |
[a1,a2,a3,a4,a6] |
j |
-85165996468490209/265829990400 |
j-invariant |
L |
1.1266072317923 |
L(r)(E,1)/r! |
Ω |
0.1408259039624 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16770r1 |
Quadratic twists by: -3 |