Atkin-Lehner |
2- 5- 7- 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
22610x |
Isogeny class |
Conductor |
22610 |
Conductor |
∏ cp |
378 |
Product of Tamagawa factors cp |
deg |
145152 |
Modular degree for the optimal curve |
Δ |
-3630333952000000 = -1 · 221 · 56 · 73 · 17 · 19 |
Discriminant |
Eigenvalues |
2- -2 5- 7- 0 2 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-61135,6495225] |
[a1,a2,a3,a4,a6] |
Generators |
[-130:3565:1] |
Generators of the group modulo torsion |
j |
-25269340398258806641/3630333952000000 |
j-invariant |
L |
6.2742749666897 |
L(r)(E,1)/r! |
Ω |
0.4288908532592 |
Real period |
R |
0.3483112266715 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
113050l1 |
Quadratic twists by: 5 |