Atkin-Lehner |
2- 3- 7+ 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
100464bm |
Isogeny class |
Conductor |
100464 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
338688 |
Modular degree for the optimal curve |
Δ |
300120468141312 = 28 · 32 · 77 · 13 · 233 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 3 13+ -5 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-19269,-610785] |
[a1,a2,a3,a4,a6] |
Generators |
[-73:642:1] |
Generators of the group modulo torsion |
j |
3090891892129792/1172345578677 |
j-invariant |
L |
7.0937507570848 |
L(r)(E,1)/r! |
Ω |
0.41833178313366 |
Real period |
R |
4.2393089882316 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005468 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25116d1 |
Quadratic twists by: -4 |