Atkin-Lehner |
2- 3+ 5+ 19- 37- |
Signs for the Atkin-Lehner involutions |
Class |
21090f |
Isogeny class |
Conductor |
21090 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
25344 |
Modular degree for the optimal curve |
Δ |
-59315625000 = -1 · 23 · 33 · 58 · 19 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 -2 6 7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-31,-11731] |
[a1,a2,a3,a4,a6] |
j |
-3301293169/59315625000 |
j-invariant |
L |
3.0387197258169 |
L(r)(E,1)/r! |
Ω |
0.50645328763615 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
63270t1 105450bb1 |
Quadratic twists by: -3 5 |