Atkin-Lehner |
2+ 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
58800be |
Isogeny class |
Conductor |
58800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
442368 |
Modular degree for the optimal curve |
Δ |
3474322031250000 = 24 · 33 · 510 · 77 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 4 -6 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-87383,-9500238] |
[a1,a2,a3,a4,a6] |
j |
2508888064/118125 |
j-invariant |
L |
1.1139547561124 |
L(r)(E,1)/r! |
Ω |
0.27848868923583 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29400bu1 11760bh1 8400v1 |
Quadratic twists by: -4 5 -7 |