Atkin-Lehner |
2+ 3- 5+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
37050bc |
Isogeny class |
Conductor |
37050 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
7147292343750000 = 24 · 33 · 510 · 13 · 194 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 -4 13+ 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-753501,251656648] |
[a1,a2,a3,a4,a6] |
Generators |
[482:471:1] |
Generators of the group modulo torsion |
j |
3027989442753063361/457426710000 |
j-invariant |
L |
4.8320038088632 |
L(r)(E,1)/r! |
Ω |
0.40504448233932 |
Real period |
R |
0.49706513929822 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
111150ef4 7410r3 |
Quadratic twists by: -3 5 |