Atkin-Lehner |
2+ 5+ 7- 89- |
Signs for the Atkin-Lehner involutions |
Class |
43610i |
Isogeny class |
Conductor |
43610 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
299520 |
Modular degree for the optimal curve |
Δ |
-87991040063500 = -1 · 22 · 53 · 711 · 89 |
Discriminant |
Eigenvalues |
2+ -2 5+ 7- 3 -2 7 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-48144,4086842] |
[a1,a2,a3,a4,a6] |
Generators |
[235:2283:1] |
Generators of the group modulo torsion |
j |
-104893606034281/747911500 |
j-invariant |
L |
2.9598018666869 |
L(r)(E,1)/r! |
Ω |
0.60793207831092 |
Real period |
R |
0.60857988340322 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000009 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6230b1 |
Quadratic twists by: -7 |