Atkin-Lehner |
3+ 5- 37+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
119325i |
Isogeny class |
Conductor |
119325 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
216960 |
Modular degree for the optimal curve |
Δ |
-2265310546875 = -1 · 36 · 59 · 37 · 43 |
Discriminant |
Eigenvalues |
-2 3+ 5- -1 0 -5 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,542,-72432] |
[a1,a2,a3,a4,a6] |
Generators |
[142:1687:1] |
Generators of the group modulo torsion |
j |
8998912/1159839 |
j-invariant |
L |
1.6590030540623 |
L(r)(E,1)/r! |
Ω |
0.38822599328535 |
Real period |
R |
1.0683230498699 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999996704092 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
119325u1 |
Quadratic twists by: 5 |