Atkin-Lehner |
3- 5+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
103335h |
Isogeny class |
Conductor |
103335 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
30119040 |
Modular degree for the optimal curve |
Δ |
3.7405013629381E+24 |
Discriminant |
Eigenvalues |
0 3- 5+ -4 3 -4 -6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-160481551,776896786105] |
[a1,a2,a3,a4,a6] |
Generators |
[10303555:2925136616:125] |
Generators of the group modulo torsion |
j |
202943111593984/1660753125 |
j-invariant |
L |
3.5845043365821 |
L(r)(E,1)/r! |
Ω |
0.079074073964326 |
Real period |
R |
11.332742093492 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999735091 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
103335i1 |
Quadratic twists by: -83 |