Atkin-Lehner |
2- 3- 5+ 13- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
103350cb |
Isogeny class |
Conductor |
103350 |
Conductor |
∏ cp |
1040 |
Product of Tamagawa factors cp |
deg |
4792320 |
Modular degree for the optimal curve |
Δ |
-5.70569785344E+19 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 -6 13- 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,792287,241721417] |
[a1,a2,a3,a4,a6] |
Generators |
[-238:6419:1] [-178:9839:1] |
Generators of the group modulo torsion |
j |
3520069529162770871/3651646626201600 |
j-invariant |
L |
17.624089000642 |
L(r)(E,1)/r! |
Ω |
0.1310417686122 |
Real period |
R |
0.51727749415372 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999996442 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20670e1 |
Quadratic twists by: 5 |