Atkin-Lehner |
2+ 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
58800bi |
Isogeny class |
Conductor |
58800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
-11767111801200 = -1 · 24 · 36 · 52 · 79 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 5 -2 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,572,164767] |
[a1,a2,a3,a4,a6] |
j |
1280/729 |
j-invariant |
L |
2.2276598840824 |
L(r)(E,1)/r! |
Ω |
0.55691497057362 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29400bv1 58800ep1 58800dr1 |
Quadratic twists by: -4 5 -7 |