Atkin-Lehner |
2- 3- 5+ 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
102300y |
Isogeny class |
Conductor |
102300 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
18989437500000000 = 28 · 34 · 512 · 112 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 11- -4 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-509508,139655988] |
[a1,a2,a3,a4,a6] |
Generators |
[503:3300:1] |
Generators of the group modulo torsion |
j |
3656937984419536/4747359375 |
j-invariant |
L |
8.9471947962051 |
L(r)(E,1)/r! |
Ω |
0.38549592542993 |
Real period |
R |
2.9011962937679 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999946861 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20460f2 |
Quadratic twists by: 5 |