Atkin-Lehner |
2+ 5+ 23+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
42550c |
Isogeny class |
Conductor |
42550 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
36720 |
Modular degree for the optimal curve |
Δ |
-16621093750 = -1 · 2 · 510 · 23 · 37 |
Discriminant |
Eigenvalues |
2+ -2 5+ -2 -4 -3 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-951,-12952] |
[a1,a2,a3,a4,a6] |
Generators |
[38:59:1] |
Generators of the group modulo torsion |
j |
-9725425/1702 |
j-invariant |
L |
1.717391118881 |
L(r)(E,1)/r! |
Ω |
0.42584706020464 |
Real period |
R |
4.0328824110071 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000016 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42550z1 |
Quadratic twists by: 5 |