Atkin-Lehner |
2- 5+ 7+ 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
113050bv |
Isogeny class |
Conductor |
113050 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
20106240 |
Modular degree for the optimal curve |
Δ |
-2.0170392868042E+21 |
Discriminant |
Eigenvalues |
2- -1 5+ 7+ -5 4 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-139100588,-631515428469] |
[a1,a2,a3,a4,a6] |
Generators |
[830139690987509310973831883099828249378703806430:47272338158518179779424011763940100196200230381653:54644863720831286229332943546768121477450664] |
Generators of the group modulo torsion |
j |
-19049807163862446410525689/129090514355468750 |
j-invariant |
L |
6.5551134742097 |
L(r)(E,1)/r! |
Ω |
0.021980478422987 |
Real period |
R |
74.556082766542 |
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 |
22610d1 |
Quadratic twists by: 5 |