Atkin-Lehner |
5- 7- 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
61985n |
Isogeny class |
Conductor |
61985 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
25088 |
Modular degree for the optimal curve |
Δ |
596605625 = 54 · 73 · 112 · 23 |
Discriminant |
Eigenvalues |
1 2 5- 7- 11+ -4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-347,-2344] |
[a1,a2,a3,a4,a6] |
Generators |
[566:4337:8] |
Generators of the group modulo torsion |
j |
13532315887/1739375 |
j-invariant |
L |
10.750430330032 |
L(r)(E,1)/r! |
Ω |
1.1151037279344 |
Real period |
R |
2.4101861693906 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000017 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
61985d1 |
Quadratic twists by: -7 |