Atkin-Lehner |
2+ 3- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
21294bh |
Isogeny class |
Conductor |
21294 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1188096 |
Modular degree for the optimal curve |
Δ |
2.7662426462176E+20 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 3 13+ 7 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-6945678,-6998308524] |
[a1,a2,a3,a4,a6] |
Generators |
[-3177580122375:14992303585269:2141700569] |
Generators of the group modulo torsion |
j |
368728437337/2752512 |
j-invariant |
L |
3.7368800156974 |
L(r)(E,1)/r! |
Ω |
0.093039278383503 |
Real period |
R |
20.082271061337 |
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 |
7098bc1 21294ce1 |
Quadratic twists by: -3 13 |