Atkin-Lehner |
2- 3- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
97020bo |
Isogeny class |
Conductor |
97020 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
-470732501075760 = -1 · 24 · 310 · 5 · 77 · 112 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11+ 6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-9408,1101373] |
[a1,a2,a3,a4,a6] |
j |
-67108864/343035 |
j-invariant |
L |
1.8230840054687 |
L(r)(E,1)/r! |
Ω |
0.45577100282165 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32340bp1 13860s1 |
Quadratic twists by: -3 -7 |