Atkin-Lehner |
2+ 3+ 5+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
21450j |
Isogeny class |
Conductor |
21450 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
369600 |
Modular degree for the optimal curve |
Δ |
-1974894408905932800 = -1 · 214 · 311 · 52 · 115 · 132 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 3 11- 13- 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,308140,15523920] |
[a1,a2,a3,a4,a6] |
Generators |
[136:7676:1] |
Generators of the group modulo torsion |
j |
129427253675226198095/78995776356237312 |
j-invariant |
L |
3.7841506197466 |
L(r)(E,1)/r! |
Ω |
0.1615691945822 |
Real period |
R |
1.1710619185582 |
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 |
64350dw1 21450cw1 |
Quadratic twists by: -3 5 |