Atkin-Lehner |
2- 5+ 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
58100h |
Isogeny class |
Conductor |
58100 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
967680 |
Modular degree for the optimal curve |
Δ |
-3.61823196875E+19 |
Discriminant |
Eigenvalues |
2- -1 5+ 7- 3 3 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1176133,-569504863] |
[a1,a2,a3,a4,a6] |
Generators |
[3587:203350:1] |
Generators of the group modulo torsion |
j |
-44981444389175296/9045579921875 |
j-invariant |
L |
5.4736840801587 |
L(r)(E,1)/r! |
Ω |
0.071709711007361 |
Real period |
R |
1.2721856875588 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000012 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11620g1 |
Quadratic twists by: 5 |