Atkin-Lehner |
2+ 5- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
74800q |
Isogeny class |
Conductor |
74800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-822800000000 = -1 · 210 · 58 · 112 · 17 |
Discriminant |
Eigenvalues |
2+ 1 5- 3 11+ -5 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-208,43588] |
[a1,a2,a3,a4,a6] |
Generators |
[72:638:1] |
Generators of the group modulo torsion |
j |
-2500/2057 |
j-invariant |
L |
7.7571581013408 |
L(r)(E,1)/r! |
Ω |
0.72114482909682 |
Real period |
R |
2.6891817666995 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999988575 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37400x1 74800b1 |
Quadratic twists by: -4 5 |