Atkin-Lehner |
2+ 3+ 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
10200j |
Isogeny class |
Conductor |
10200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
-3901500000000 = -1 · 28 · 33 · 59 · 172 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 2 0 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1708,99412] |
[a1,a2,a3,a4,a6] |
j |
-1102736/7803 |
j-invariant |
L |
1.3480158635883 |
L(r)(E,1)/r! |
Ω |
0.67400793179415 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20400bl1 81600ef1 30600cs1 10200bp1 |
Quadratic twists by: -4 8 -3 5 |