Atkin-Lehner |
3+ 5+ 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
24675d |
Isogeny class |
Conductor |
24675 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
622080 |
Modular degree for the optimal curve |
Δ |
-3780644318940234375 = -1 · 36 · 58 · 710 · 47 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 7- -2 -4 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-3780963,-2832895344] |
[a1,a2,a3,a4,a6] |
j |
-382570056949462495849/241961236412175 |
j-invariant |
L |
0.54131801132325 |
L(r)(E,1)/r! |
Ω |
0.054131801132333 |
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 |
74025r1 4935c1 |
Quadratic twists by: -3 5 |