Atkin-Lehner |
2+ 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
36400c |
Isogeny class |
Conductor |
36400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
353280 |
Modular degree for the optimal curve |
Δ |
-8115380000000000 = -1 · 211 · 510 · 74 · 132 |
Discriminant |
Eigenvalues |
2+ 3 5+ 7+ -5 13+ 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,18125,4231250] |
[a1,a2,a3,a4,a6] |
Generators |
[957:59878:27] |
Generators of the group modulo torsion |
j |
32925150/405769 |
j-invariant |
L |
9.4579842528195 |
L(r)(E,1)/r! |
Ω |
0.30643407538632 |
Real period |
R |
3.8580827870134 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18200f1 36400bb1 |
Quadratic twists by: -4 5 |