Atkin-Lehner |
2- 5+ 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
61370q |
Isogeny class |
Conductor |
61370 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-3.7446973562996E+25 |
Discriminant |
Eigenvalues |
2- 1 5+ 2 -3 -4 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,17837544,-292986554830] |
[a1,a2,a3,a4,a6] |
Generators |
[1634692630930078980744:454170393339785130431503:21150975919108608] |
Generators of the group modulo torsion |
j |
36957286372120991/2204895019531250 |
j-invariant |
L |
10.311090333602 |
L(r)(E,1)/r! |
Ω |
0.031011044691666 |
Real period |
R |
27.708112910851 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61370g2 |
Quadratic twists by: -19 |