Atkin-Lehner |
2- 3+ 5+ 7+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
102480bb |
Isogeny class |
Conductor |
102480 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
4852224 |
Modular degree for the optimal curve |
Δ |
3.2675917041333E+21 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -3 5 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4691701,-2779799939] |
[a1,a2,a3,a4,a6] |
Generators |
[-3054547100694208344105804:88238197138017162553831037:3556098204256333257137] |
Generators of the group modulo torsion |
j |
2788398481286706724864/797751880891915005 |
j-invariant |
L |
4.2592749829973 |
L(r)(E,1)/r! |
Ω |
0.10481583785427 |
Real period |
R |
40.635795793753 |
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 |
6405k1 |
Quadratic twists by: -4 |