Atkin-Lehner |
2+ 5- 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
74200l |
Isogeny class |
Conductor |
74200 |
Conductor |
∏ cp |
84 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
-23133322870000 = -1 · 24 · 54 · 77 · 532 |
Discriminant |
Eigenvalues |
2+ -2 5- 7- -3 0 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-10808,486913] |
[a1,a2,a3,a4,a6] |
Generators |
[-97:795:1] [-56:959:1] |
Generators of the group modulo torsion |
j |
-13963680467200/2313332287 |
j-invariant |
L |
7.6518661209944 |
L(r)(E,1)/r! |
Ω |
0.65118119038771 |
Real period |
R |
0.13988985806352 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000064 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74200n1 |
Quadratic twists by: 5 |