Atkin-Lehner |
2- 3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
58800hj |
Isogeny class |
Conductor |
58800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
587520 |
Modular degree for the optimal curve |
Δ |
92484403200000000 = 229 · 32 · 58 · 72 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 4 -4 -3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-115208,-3491088] |
[a1,a2,a3,a4,a6] |
j |
2157045625/1179648 |
j-invariant |
L |
1.1071156602957 |
L(r)(E,1)/r! |
Ω |
0.27677891565266 |
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 |
7350bm1 58800iw1 58800jg1 |
Quadratic twists by: -4 5 -7 |