Atkin-Lehner |
2- 13+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
1222b |
Isogeny class |
Conductor |
1222 |
Conductor |
∏ cp |
7 |
Product of Tamagawa factors cp |
deg |
364 |
Modular degree for the optimal curve |
Δ |
-78208 = -1 · 27 · 13 · 47 |
Discriminant |
Eigenvalues |
2- 2 0 4 4 13+ -7 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-248,-1607] |
[a1,a2,a3,a4,a6] |
j |
-1687284042625/78208 |
j-invariant |
L |
4.2106035342818 |
L(r)(E,1)/r! |
Ω |
0.60151479061169 |
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 |
9776b1 39104e1 10998g1 30550h1 |
Quadratic twists by: -4 8 -3 5 |