Atkin-Lehner |
2- 3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
76230eb |
Isogeny class |
Conductor |
76230 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
230400 |
Modular degree for the optimal curve |
Δ |
-72050893021800 = -1 · 23 · 311 · 52 · 75 · 112 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11- -5 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,10372,35687] |
[a1,a2,a3,a4,a6] |
Generators |
[183:2743:1] |
Generators of the group modulo torsion |
j |
1399064033279/816820200 |
j-invariant |
L |
9.0520600160073 |
L(r)(E,1)/r! |
Ω |
0.37176537769934 |
Real period |
R |
0.20290709671626 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002404 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25410bl1 76230w1 |
Quadratic twists by: -3 -11 |