Atkin-Lehner |
2- 3- 5- 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
31080bc |
Isogeny class |
Conductor |
31080 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
19200 |
Modular degree for the optimal curve |
Δ |
-9551754240 = -1 · 210 · 3 · 5 · 75 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -1 -2 -7 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,240,4560] |
[a1,a2,a3,a4,a6] |
Generators |
[8:84:1] |
Generators of the group modulo torsion |
j |
1486779836/9327885 |
j-invariant |
L |
7.2791907299605 |
L(r)(E,1)/r! |
Ω |
0.9376635070514 |
Real period |
R |
0.77631161661083 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
62160i1 93240n1 |
Quadratic twists by: -4 -3 |