Atkin-Lehner |
2- 3+ 5- 19- 37- |
Signs for the Atkin-Lehner involutions |
Class |
21090k |
Isogeny class |
Conductor |
21090 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
537600 |
Modular degree for the optimal curve |
Δ |
-1297056833088603120 = -1 · 24 · 314 · 5 · 195 · 372 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 -4 6 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,150035,50083475] |
[a1,a2,a3,a4,a6] |
Generators |
[1609:65980:1] |
Generators of the group modulo torsion |
j |
373509178976018769839/1297056833088603120 |
j-invariant |
L |
6.5088011842755 |
L(r)(E,1)/r! |
Ω |
0.19269241537169 |
Real period |
R |
1.6889095431495 |
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 |
63270n1 105450bd1 |
Quadratic twists by: -3 5 |