Atkin-Lehner |
2- 3+ 5+ 7- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
104370ch |
Isogeny class |
Conductor |
104370 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
460800 |
Modular degree for the optimal curve |
Δ |
6820121941920 = 25 · 36 · 5 · 77 · 71 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -3 3 -4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-76686,-8204757] |
[a1,a2,a3,a4,a6] |
Generators |
[-161:107:1] |
Generators of the group modulo torsion |
j |
423920170996561/57970080 |
j-invariant |
L |
8.0695939269197 |
L(r)(E,1)/r! |
Ω |
0.28689571878042 |
Real period |
R |
1.4063636003888 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008571 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14910bm1 |
Quadratic twists by: -7 |