Atkin-Lehner |
3+ 5+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
42075b |
Isogeny class |
Conductor |
42075 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
115200 |
Modular degree for the optimal curve |
Δ |
-179722705078125 = -1 · 39 · 511 · 11 · 17 |
Discriminant |
Eigenvalues |
1 3+ 5+ -3 11+ -3 17+ -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,11433,-444034] |
[a1,a2,a3,a4,a6] |
Generators |
[118:1534:1] |
Generators of the group modulo torsion |
j |
537367797/584375 |
j-invariant |
L |
4.4314057821295 |
L(r)(E,1)/r! |
Ω |
0.30795409182088 |
Real period |
R |
3.5974564876914 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42075n1 8415c1 |
Quadratic twists by: -3 5 |