Atkin-Lehner |
3- 5+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
50715be |
Isogeny class |
Conductor |
50715 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
173376 |
Modular degree for the optimal curve |
Δ |
-23681312499915 = -1 · 36 · 5 · 710 · 23 |
Discriminant |
Eigenvalues |
-2 3- 5+ 7- 2 0 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-7203,331938] |
[a1,a2,a3,a4,a6] |
j |
-200704/115 |
j-invariant |
L |
1.2515636355143 |
L(r)(E,1)/r! |
Ω |
0.6257818187145 |
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 |
5635h1 50715bl1 |
Quadratic twists by: -3 -7 |