Atkin-Lehner |
2+ 5+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
74800c |
Isogeny class |
Conductor |
74800 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
57600 |
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 |
[19090:46273:1000] |
Generators of the group modulo torsion |
j |
1991767040/15618427 |
j-invariant |
L |
4.3743995592216 |
L(r)(E,1)/r! |
Ω |
0.52833173055958 |
Real period |
R |
8.2796457333771 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001111 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37400r1 74800r1 |
Quadratic twists by: -4 5 |