Atkin-Lehner |
2+ 3+ 5- 7+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
93450o |
Isogeny class |
Conductor |
93450 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
96000 |
Modular degree for the optimal curve |
Δ |
-18393763500 = -1 · 22 · 310 · 53 · 7 · 89 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ 1 0 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2485,-49175] |
[a1,a2,a3,a4,a6] |
Generators |
[64:211:1] |
Generators of the group modulo torsion |
j |
-13585196426381/147150108 |
j-invariant |
L |
3.8982785755599 |
L(r)(E,1)/r! |
Ω |
0.33785851979112 |
Real period |
R |
1.4422747764314 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000017398 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
93450df1 |
Quadratic twists by: 5 |