Atkin-Lehner |
2+ 3+ 5- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
15450j |
Isogeny class |
Conductor |
15450 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
35200 |
Modular degree for the optimal curve |
Δ |
-782156250000 = -1 · 24 · 35 · 59 · 103 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 3 6 6 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,2300,4000] |
[a1,a2,a3,a4,a6] |
j |
688465387/400464 |
j-invariant |
L |
2.1614034753438 |
L(r)(E,1)/r! |
Ω |
0.54035086883594 |
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 |
123600da1 46350ci1 15450bj1 |
Quadratic twists by: -4 -3 5 |