Atkin-Lehner |
2- 3+ 5+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
21450br |
Isogeny class |
Conductor |
21450 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
-14931210937500 = -1 · 22 · 35 · 510 · 112 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 11+ 13- -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2938,194531] |
[a1,a2,a3,a4,a6] |
Generators |
[390:3101:8] |
Generators of the group modulo torsion |
j |
-179501589721/955597500 |
j-invariant |
L |
7.5844933757908 |
L(r)(E,1)/r! |
Ω |
0.60698606954534 |
Real period |
R |
3.1238333778697 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
64350bw1 4290m1 |
Quadratic twists by: -3 5 |