Atkin-Lehner |
2+ 5+ 7+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
61880a |
Isogeny class |
Conductor |
61880 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
107864064 |
Modular degree for the optimal curve |
Δ |
-1.3647713185427E+31 |
Discriminant |
Eigenvalues |
2+ -1 5+ 7+ -5 13+ 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-11446698856,503777890922156] |
[a1,a2,a3,a4,a6] |
Generators |
[-2229139074865713459545558:115291592561595688980078125:18079168496086348552] |
Generators of the group modulo torsion |
j |
-80990584275537381006758718776018/6663922453821792449951171875 |
j-invariant |
L |
2.7140689173835 |
L(r)(E,1)/r! |
Ω |
0.021880969172041 |
Real period |
R |
31.009468731068 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123760c1 |
Quadratic twists by: -4 |