Atkin-Lehner |
2- 5- 7+ 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
22610v |
Isogeny class |
Conductor |
22610 |
Conductor |
∏ cp |
126 |
Product of Tamagawa factors cp |
deg |
233856 |
Modular degree for the optimal curve |
Δ |
-13296342117625000 = -1 · 23 · 56 · 7 · 17 · 197 |
Discriminant |
Eigenvalues |
2- -2 5- 7+ -4 -6 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-40030,-6350100] |
[a1,a2,a3,a4,a6] |
Generators |
[1070:33760:1] |
Generators of the group modulo torsion |
j |
-7093836270722769121/13296342117625000 |
j-invariant |
L |
4.8716022477363 |
L(r)(E,1)/r! |
Ω |
0.1589550777692 |
Real period |
R |
0.24323545019937 |
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 |
113050u1 |
Quadratic twists by: 5 |