Atkin-Lehner |
2- 5- 13+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
61100n |
Isogeny class |
Conductor |
61100 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
366336 |
Modular degree for the optimal curve |
Δ |
1715305465120000 = 28 · 54 · 133 · 474 |
Discriminant |
Eigenvalues |
2- -1 5- -2 2 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-358333,-82418263] |
[a1,a2,a3,a4,a6] |
Generators |
[-349:98:1] |
Generators of the group modulo torsion |
j |
31802800000000000/10720659157 |
j-invariant |
L |
4.3110719569631 |
L(r)(E,1)/r! |
Ω |
0.19513561350131 |
Real period |
R |
3.6821161446386 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999444 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61100i1 |
Quadratic twists by: 5 |