Atkin-Lehner |
2+ 3- 5- 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
11310f |
Isogeny class |
Conductor |
11310 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
10201800960 = 28 · 36 · 5 · 13 · 292 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 -4 13+ -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-833,7796] |
[a1,a2,a3,a4,a6] |
Generators |
[-18:139:1] |
Generators of the group modulo torsion |
j |
63812982460681/10201800960 |
j-invariant |
L |
4.1022318072311 |
L(r)(E,1)/r! |
Ω |
1.2307812724363 |
Real period |
R |
0.55550512224791 |
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 |
90480z1 33930y1 56550bk1 |
Quadratic twists by: -4 -3 5 |