Atkin-Lehner |
2+ 3+ 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
58800bq |
Isogeny class |
Conductor |
58800 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
-840157920000 = -1 · 28 · 37 · 54 · 74 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ 6 -7 -4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5308,-153488] |
[a1,a2,a3,a4,a6] |
j |
-43061200/2187 |
j-invariant |
L |
1.6730096374733 |
L(r)(E,1)/r! |
Ω |
0.27883493947341 |
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 |
29400ek1 58800cm1 58800es1 |
Quadratic twists by: -4 5 -7 |