Atkin-Lehner |
2- 3+ 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
5100j |
Isogeny class |
Conductor |
5100 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
12096 |
Modular degree for the optimal curve |
Δ |
-22158288342000 = -1 · 24 · 33 · 53 · 177 |
Discriminant |
Eigenvalues |
2- 3+ 5- 3 3 0 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,3562,209997] |
[a1,a2,a3,a4,a6] |
Generators |
[7:485:1] |
Generators of the group modulo torsion |
j |
2498351450368/11079144171 |
j-invariant |
L |
3.6671820348908 |
L(r)(E,1)/r! |
Ω |
0.48566524024689 |
Real period |
R |
3.7754215568594 |
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 |
20400ds1 81600en1 15300bi1 5100t1 |
Quadratic twists by: -4 8 -3 5 |