Atkin-Lehner |
2- 3+ 11+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
99264bi |
Isogeny class |
Conductor |
99264 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
958464 |
Modular degree for the optimal curve |
Δ |
-7357620427948032 = -1 · 231 · 3 · 11 · 473 |
Discriminant |
Eigenvalues |
2- 3+ 4 -2 11+ 0 5 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-48641,5854113] |
[a1,a2,a3,a4,a6] |
j |
-48551226272641/28067094528 |
j-invariant |
L |
1.5511765207969 |
L(r)(E,1)/r! |
Ω |
0.38779411430417 |
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 |
99264bb1 24816w1 |
Quadratic twists by: -4 8 |