Atkin-Lehner |
3- 5+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
55815h |
Isogeny class |
Conductor |
55815 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
51840 |
Modular degree for the optimal curve |
Δ |
-196224609375 = -1 · 33 · 59 · 612 |
Discriminant |
Eigenvalues |
1 3- 5+ 2 2 -2 -7 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1359,28621] |
[a1,a2,a3,a4,a6] |
j |
-74518302049/52734375 |
j-invariant |
L |
2.779530715639 |
L(r)(E,1)/r! |
Ω |
0.92651023877123 |
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 |
55815i1 |
Quadratic twists by: 61 |