Atkin-Lehner |
2- 3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
58800hb |
Isogeny class |
Conductor |
58800 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
13132800 |
Modular degree for the optimal curve |
Δ |
-1.678736193749E+23 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 2 -7 7 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-123392208,-527896577088] |
[a1,a2,a3,a4,a6] |
j |
-1103770289367265/891813888 |
j-invariant |
L |
2.4459655575993 |
L(r)(E,1)/r! |
Ω |
0.022647829232971 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7350cy1 58800ii1 8400cn1 |
Quadratic twists by: -4 5 -7 |