Atkin-Lehner |
2- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
59290eh |
Isogeny class |
Conductor |
59290 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
675840 |
Modular degree for the optimal curve |
Δ |
-91906370228750 = -1 · 2 · 54 · 73 · 118 |
Discriminant |
Eigenvalues |
2- 1 5- 7- 11- 3 -6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-825525,288629375] |
[a1,a2,a3,a4,a6] |
Generators |
[4190:-1815:8] |
Generators of the group modulo torsion |
j |
-846211325047/1250 |
j-invariant |
L |
12.063971705478 |
L(r)(E,1)/r! |
Ω |
0.51255618595459 |
Real period |
R |
2.9421095765537 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997739 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59290db1 59290bu1 |
Quadratic twists by: -7 -11 |