Atkin-Lehner |
3- 5- 23- 43- |
Signs for the Atkin-Lehner involutions |
Class |
74175y |
Isogeny class |
Conductor |
74175 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
238080 |
Modular degree for the optimal curve |
Δ |
-719729296875 = -1 · 34 · 58 · 232 · 43 |
Discriminant |
Eigenvalues |
-2 3- 5- 0 -5 -1 -5 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-17458,882994] |
[a1,a2,a3,a4,a6] |
Generators |
[8:862:1] |
Generators of the group modulo torsion |
j |
-1506510008320/1842507 |
j-invariant |
L |
2.5049474762205 |
L(r)(E,1)/r! |
Ω |
0.89992768119862 |
Real period |
R |
0.11597911008339 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999908372 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74175d1 |
Quadratic twists by: 5 |