Atkin-Lehner |
2+ 3+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
122304br |
Isogeny class |
Conductor |
122304 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1105920 |
Modular degree for the optimal curve |
Δ |
-66834684713631744 = -1 · 219 · 35 · 79 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ -1 7- 1 13- 1 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-340321,77534689] |
[a1,a2,a3,a4,a6] |
Generators |
[495:5488:1] |
Generators of the group modulo torsion |
j |
-141339344329/2167074 |
j-invariant |
L |
5.46156099087 |
L(r)(E,1)/r! |
Ω |
0.34877950751588 |
Real period |
R |
1.9573830953883 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000173274 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
122304hz1 3822l1 17472u1 |
Quadratic twists by: -4 8 -7 |