Atkin-Lehner |
2+ 3+ 7- 13- 41- |
Signs for the Atkin-Lehner involutions |
Class |
22386f |
Isogeny class |
Conductor |
22386 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
51680 |
Modular degree for the optimal curve |
Δ |
-6179378429952 = -1 · 219 · 35 · 7 · 132 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- -3 13- 4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,4520,26944] |
[a1,a2,a3,a4,a6] |
j |
10209133395200375/6179378429952 |
j-invariant |
L |
0.92685597779729 |
L(r)(E,1)/r! |
Ω |
0.46342798889866 |
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 |
67158cb1 |
Quadratic twists by: -3 |