Atkin-Lehner |
2+ 5+ 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
4510a |
Isogeny class |
Conductor |
4510 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2496 |
Modular degree for the optimal curve |
Δ |
-757391360 = -1 · 213 · 5 · 11 · 412 |
Discriminant |
Eigenvalues |
2+ -1 5+ -1 11- 4 7 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1083,-14243] |
[a1,a2,a3,a4,a6] |
j |
-140681020636729/757391360 |
j-invariant |
L |
0.83186035263728 |
L(r)(E,1)/r! |
Ω |
0.41593017631864 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36080i1 40590bp1 22550z1 49610s1 |
Quadratic twists by: -4 -3 5 -11 |