Atkin-Lehner |
2- 5+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
37400r |
Isogeny class |
Conductor |
37400 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
28800 |
Modular degree for the optimal curve |
Δ |
-99957932800 = -1 · 28 · 52 · 11 · 175 |
Discriminant |
Eigenvalues |
2- 2 5+ -1 11- 4 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,487,14477] |
[a1,a2,a3,a4,a6] |
Generators |
[196:2757:1] |
Generators of the group modulo torsion |
j |
1991767040/15618427 |
j-invariant |
L |
8.3245446278301 |
L(r)(E,1)/r! |
Ω |
0.77639732101611 |
Real period |
R |
5.3610080834221 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74800c1 37400i1 |
Quadratic twists by: -4 5 |