Atkin-Lehner |
2+ 5+ 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
114800l |
Isogeny class |
Conductor |
114800 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
96000 |
Modular degree for the optimal curve |
Δ |
-17640627200 = -1 · 210 · 52 · 75 · 41 |
Discriminant |
Eigenvalues |
2+ -1 5+ 7- 0 -3 -2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8608,310352] |
[a1,a2,a3,a4,a6] |
Generators |
[-52:784:1] [46:98:1] |
Generators of the group modulo torsion |
j |
-2755757342500/689087 |
j-invariant |
L |
9.8801929073578 |
L(r)(E,1)/r! |
Ω |
1.1991617000126 |
Real period |
R |
0.41196249455807 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001056 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
57400a1 114800s1 |
Quadratic twists by: -4 5 |