Atkin-Lehner |
2+ 5+ 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
61370g |
Isogeny class |
Conductor |
61370 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
300672 |
Modular degree for the optimal curve |
Δ |
-1089207801125000 = -1 · 23 · 56 · 176 · 192 |
Discriminant |
Eigenvalues |
2+ -1 5+ 2 -3 4 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-5498,-1597892] |
[a1,a2,a3,a4,a6] |
Generators |
[389:7243:1] |
Generators of the group modulo torsion |
j |
-50927708432449/3017196125000 |
j-invariant |
L |
3.5573268128922 |
L(r)(E,1)/r! |
Ω |
0.21552950036022 |
Real period |
R |
1.3754214649025 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999986229 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61370q1 |
Quadratic twists by: -19 |