Atkin-Lehner |
2+ 3- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
31248s |
Isogeny class |
Conductor |
31248 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
399360 |
Modular degree for the optimal curve |
Δ |
-1570482043959580416 = -1 · 28 · 36 · 710 · 313 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 2 -4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-112311,-62010090] |
[a1,a2,a3,a4,a6] |
Generators |
[517:4256:1] |
Generators of the group modulo torsion |
j |
-839504640199248/8415220142959 |
j-invariant |
L |
4.8179743951616 |
L(r)(E,1)/r! |
Ω |
0.1134583024086 |
Real period |
R |
4.2464714286051 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15624k1 124992fv1 3472b1 |
Quadratic twists by: -4 8 -3 |