Atkin-Lehner |
2+ 5+ 7- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
99400d |
Isogeny class |
Conductor |
99400 |
Conductor |
∏ cp |
224 |
Product of Tamagawa factors cp |
deg |
817152 |
Modular degree for the optimal curve |
Δ |
-83029605260000000 = -1 · 28 · 57 · 77 · 712 |
Discriminant |
Eigenvalues |
2+ -1 5+ 7- 1 -5 -3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,90967,-9012563] |
[a1,a2,a3,a4,a6] |
Generators |
[137:-2450:1] [177:3550:1] |
Generators of the group modulo torsion |
j |
20811844084736/20757401315 |
j-invariant |
L |
9.5378039417478 |
L(r)(E,1)/r! |
Ω |
0.18591818658174 |
Real period |
R |
0.22902268283752 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000837 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19880f1 |
Quadratic twists by: 5 |