Atkin-Lehner |
2+ 3- 5+ 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
22770l |
Isogeny class |
Conductor |
22770 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
337920 |
Modular degree for the optimal curve |
Δ |
-345674639908620000 = -1 · 25 · 317 · 54 · 11 · 233 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -3 11- -5 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,30015,28208925] |
[a1,a2,a3,a4,a6] |
Generators |
[885:26895:1] |
Generators of the group modulo torsion |
j |
4102070196173039/474176460780000 |
j-invariant |
L |
2.3911768056811 |
L(r)(E,1)/r! |
Ω |
0.23300823227511 |
Real period |
R |
1.2827748521659 |
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 |
7590z1 113850fe1 |
Quadratic twists by: -3 5 |