Atkin-Lehner |
3+ 7- 19+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
114513c |
Isogeny class |
Conductor |
114513 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2537472 |
Modular degree for the optimal curve |
Δ |
-6587356535879228487 = -1 · 38 · 79 · 192 · 413 |
Discriminant |
Eigenvalues |
-1 3+ 4 7- 0 6 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,316539,-102580374] |
[a1,a2,a3,a4,a6] |
j |
86920645786073/163240835841 |
j-invariant |
L |
2.2344009060032 |
L(r)(E,1)/r! |
Ω |
0.1241333959662 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114513p1 |
Quadratic twists by: -7 |