Atkin-Lehner |
2+ 3+ 5+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
83490f |
Isogeny class |
Conductor |
83490 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
460800 |
Modular degree for the optimal curve |
Δ |
-1936245310560000 = -1 · 28 · 33 · 54 · 117 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 11- -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,1087,2117493] |
[a1,a2,a3,a4,a6] |
Generators |
[18:1455:1] |
Generators of the group modulo torsion |
j |
80062991/1092960000 |
j-invariant |
L |
2.9025002255414 |
L(r)(E,1)/r! |
Ω |
0.3687165992493 |
Real period |
R |
3.9359500356828 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005503 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7590q1 |
Quadratic twists by: -11 |