Atkin-Lehner |
3+ 5- 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
9975f |
Isogeny class |
Conductor |
9975 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
-4208203125 = -1 · 34 · 58 · 7 · 19 |
Discriminant |
Eigenvalues |
-1 3+ 5- 7+ -2 1 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2638,-53344] |
[a1,a2,a3,a4,a6] |
j |
-5197545985/10773 |
j-invariant |
L |
0.66607948873492 |
L(r)(E,1)/r! |
Ω |
0.33303974436746 |
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 |
29925bh1 9975n1 69825ch1 |
Quadratic twists by: -3 5 -7 |