Atkin-Lehner |
2+ 5+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
31600d |
Isogeny class |
Conductor |
31600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
-31600000000 = -1 · 210 · 58 · 79 |
Discriminant |
Eigenvalues |
2+ 0 5+ -2 0 -2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,325,8250] |
[a1,a2,a3,a4,a6] |
Generators |
[5:-100:1] [21:156:1] |
Generators of the group modulo torsion |
j |
237276/1975 |
j-invariant |
L |
7.87397724987 |
L(r)(E,1)/r! |
Ω |
0.85610098358673 |
Real period |
R |
2.2993716281228 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15800a1 126400bu1 6320c1 |
Quadratic twists by: -4 8 5 |