Atkin-Lehner |
2+ 3- 5- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
75840bg |
Isogeny class |
Conductor |
75840 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-298215014400 = -1 · 224 · 32 · 52 · 79 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 4 2 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,95,26303] |
[a1,a2,a3,a4,a6] |
Generators |
[221:3300:1] |
Generators of the group modulo torsion |
j |
357911/1137600 |
j-invariant |
L |
10.488867978468 |
L(r)(E,1)/r! |
Ω |
0.7630350682415 |
Real period |
R |
3.4365615738604 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999984377 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
75840bw1 2370a1 |
Quadratic twists by: -4 8 |