Atkin-Lehner |
2- 3+ 5+ 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
120900i |
Isogeny class |
Conductor |
120900 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1338624 |
Modular degree for the optimal curve |
Δ |
-31322468238750000 = -1 · 24 · 314 · 57 · 132 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 -2 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-235633,-44762738] |
[a1,a2,a3,a4,a6] |
Generators |
[8106:219925:8] |
Generators of the group modulo torsion |
j |
-5787538382995456/125289872955 |
j-invariant |
L |
2.830756156219 |
L(r)(E,1)/r! |
Ω |
0.10820662461023 |
Real period |
R |
6.5401639480596 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999630314 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24180k1 |
Quadratic twists by: 5 |