Atkin-Lehner |
2+ 3+ 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
36162i |
Isogeny class |
Conductor |
36162 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-3038179070304 = -1 · 25 · 39 · 76 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ -1 7- 4 5 -1 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,3225,-46243] |
[a1,a2,a3,a4,a6] |
Generators |
[373:7090:1] |
Generators of the group modulo torsion |
j |
1601613/1312 |
j-invariant |
L |
4.2582761373234 |
L(r)(E,1)/r! |
Ω |
0.44339614277021 |
Real period |
R |
2.4009433814192 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999991 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36162bp1 738a1 |
Quadratic twists by: -3 -7 |