Atkin-Lehner |
2- 3+ 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
76230cx |
Isogeny class |
Conductor |
76230 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
30821770903770 = 2 · 39 · 5 · 76 · 113 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 11+ 2 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-13718,-554309] |
[a1,a2,a3,a4,a6] |
Generators |
[1174:5485:8] |
Generators of the group modulo torsion |
j |
10896752313/1176490 |
j-invariant |
L |
11.064931726256 |
L(r)(E,1)/r! |
Ω |
0.44422961600908 |
Real period |
R |
4.1513560130451 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000636 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
76230m2 76230a2 |
Quadratic twists by: -3 -11 |