Atkin-Lehner |
2+ 3- 5+ 13+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
72150x |
Isogeny class |
Conductor |
72150 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
829440 |
Modular degree for the optimal curve |
Δ |
42275390625000000 = 26 · 32 · 516 · 13 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 2 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-625251,189986398] |
[a1,a2,a3,a4,a6] |
j |
1730078753010884641/2705625000000 |
j-invariant |
L |
1.4449297822731 |
L(r)(E,1)/r! |
Ω |
0.3612324477501 |
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 |
14430be1 |
Quadratic twists by: 5 |