Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
58800cw |
Isogeny class |
Conductor |
58800 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
-1906707930750000 = -1 · 24 · 33 · 56 · 710 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 0 6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8983,2123288] |
[a1,a2,a3,a4,a6] |
Generators |
[248:3900:1] |
Generators of the group modulo torsion |
j |
-2725888/64827 |
j-invariant |
L |
8.1608884497098 |
L(r)(E,1)/r! |
Ω |
0.39240669314322 |
Real period |
R |
3.4661694072388 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998739 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29400cr1 2352d1 8400f1 |
Quadratic twists by: -4 5 -7 |