Atkin-Lehner |
2- 5- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
74800cy |
Isogeny class |
Conductor |
74800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1105920 |
Modular degree for the optimal curve |
Δ |
-210636800000000 = -1 · 218 · 58 · 112 · 17 |
Discriminant |
Eigenvalues |
2- -3 5- -5 11+ -1 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-203875,-35438750] |
[a1,a2,a3,a4,a6] |
j |
-585727549785/131648 |
j-invariant |
L |
0.44934786847915 |
L(r)(E,1)/r! |
Ω |
0.11233697100734 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9350q1 74800bi1 |
Quadratic twists by: -4 5 |