Atkin-Lehner |
2+ 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
20102i |
Isogeny class |
Conductor |
20102 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2874816 |
Modular degree for the optimal curve |
Δ |
7.3490971872826E+22 |
Discriminant |
Eigenvalues |
2+ 1 3 -2 -1 6 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-62477292,-189634986198] |
[a1,a2,a3,a4,a6] |
Generators |
[-12649384372268693934743133457936410:-52299821401780635068947683111262962:2769985296542623517630282497031] |
Generators of the group modulo torsion |
j |
14974066929360239/40802189312 |
j-invariant |
L |
5.3424061037153 |
L(r)(E,1)/r! |
Ω |
0.053708142482223 |
Real period |
R |
49.735532237813 |
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 |
20102d1 |
Quadratic twists by: -23 |