Atkin-Lehner |
2- 5+ 23+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
42550p |
Isogeny class |
Conductor |
42550 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
36000 |
Modular degree for the optimal curve |
Δ |
16621093750 = 2 · 510 · 23 · 37 |
Discriminant |
Eigenvalues |
2- -1 5+ 4 2 -6 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-638,-219] |
[a1,a2,a3,a4,a6] |
Generators |
[-3090:42681:1000] |
Generators of the group modulo torsion |
j |
2941225/1702 |
j-invariant |
L |
8.2329417362167 |
L(r)(E,1)/r! |
Ω |
1.0444779418026 |
Real period |
R |
7.8823509877118 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000007 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42550k1 |
Quadratic twists by: 5 |