Atkin-Lehner |
2- 3+ 5- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
76230cy |
Isogeny class |
Conductor |
76230 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
354816 |
Modular degree for the optimal curve |
Δ |
-2183695356635100 = -1 · 22 · 33 · 52 · 73 · 119 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 11+ -2 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,15223,-2132699] |
[a1,a2,a3,a4,a6] |
Generators |
[4889698:104845067:10648] |
Generators of the group modulo torsion |
j |
6128487/34300 |
j-invariant |
L |
10.329081856538 |
L(r)(E,1)/r! |
Ω |
0.23199135078288 |
Real period |
R |
11.130891109965 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000451 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
76230a1 76230m1 |
Quadratic twists by: -3 -11 |