Atkin-Lehner |
3- 5+ 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
76725u |
Isogeny class |
Conductor |
76725 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
Δ |
-6774885353671875 = -1 · 37 · 57 · 113 · 313 |
Discriminant |
Eigenvalues |
0 3- 5+ 1 11- -2 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-61950,7134781] |
[a1,a2,a3,a4,a6] |
Generators |
[-95:-3488:1] [115:-1238:1] |
Generators of the group modulo torsion |
j |
-2308341661696/594777315 |
j-invariant |
L |
9.452714365986 |
L(r)(E,1)/r! |
Ω |
0.40060396648912 |
Real period |
R |
0.16386220620498 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000064 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25575b2 15345g2 |
Quadratic twists by: -3 5 |