Atkin-Lehner |
2- 3- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
124992gu |
Isogeny class |
Conductor |
124992 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-222249775104 = -1 · 212 · 36 · 74 · 31 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 2 -4 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-804,-24320] |
[a1,a2,a3,a4,a6] |
Generators |
[45:175:1] |
Generators of the group modulo torsion |
j |
-19248832/74431 |
j-invariant |
L |
8.9622094222529 |
L(r)(E,1)/r! |
Ω |
0.40971141270961 |
Real period |
R |
2.7343055037428 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000063051 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
124992en1 62496u1 13888w1 |
Quadratic twists by: -4 8 -3 |