Atkin-Lehner |
2+ 3- 19+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
20862i |
Isogeny class |
Conductor |
20862 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
685440 |
Modular degree for the optimal curve |
Δ |
-1.1375662150377E+20 |
Discriminant |
Eigenvalues |
2+ 3- -1 1 -4 5 -7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1523700,887737752] |
[a1,a2,a3,a4,a6] |
Generators |
[20805:3148719:125] |
Generators of the group modulo torsion |
j |
-536654464642899259201/156044748290498856 |
j-invariant |
L |
3.2833691122042 |
L(r)(E,1)/r! |
Ω |
0.17743673342188 |
Real period |
R |
4.6261124301661 |
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 |
6954m1 |
Quadratic twists by: -3 |