Atkin-Lehner |
3+ 5- 37- 43- |
Signs for the Atkin-Lehner involutions |
Class |
119325k |
Isogeny class |
Conductor |
119325 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
282240 |
Modular degree for the optimal curve |
Δ |
2977161733125 = 37 · 54 · 373 · 43 |
Discriminant |
Eigenvalues |
-2 3+ 5- 0 -2 0 -2 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-9458,-341032] |
[a1,a2,a3,a4,a6] |
Generators |
[-53:-93:1] [-48:7:1] |
Generators of the group modulo torsion |
j |
149722662400000/4763458773 |
j-invariant |
L |
5.2187638919349 |
L(r)(E,1)/r! |
Ω |
0.48505630191076 |
Real period |
R |
1.1954543275722 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999900677 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
119325l1 |
Quadratic twists by: 5 |