Atkin-Lehner |
2- 3- 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
76230eu |
Isogeny class |
Conductor |
76230 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
1013760 |
Modular degree for the optimal curve |
Δ |
106127594332465860 = 22 · 38 · 5 · 73 · 119 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 11+ -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-404042,97702949] |
[a1,a2,a3,a4,a6] |
Generators |
[309:1357:1] |
Generators of the group modulo torsion |
j |
4243659659/61740 |
j-invariant |
L |
11.910638217418 |
L(r)(E,1)/r! |
Ω |
0.33564249898202 |
Real period |
R |
2.9571737420795 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000697 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25410z1 76230bn1 |
Quadratic twists by: -3 -11 |