Atkin-Lehner |
2- 3- 5- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
74970de |
Isogeny class |
Conductor |
74970 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
248832 |
Modular degree for the optimal curve |
Δ |
-23427173480760 = -1 · 23 · 315 · 5 · 74 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -6 -1 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,5503,-173239] |
[a1,a2,a3,a4,a6] |
Generators |
[69:-764:1] |
Generators of the group modulo torsion |
j |
10531168151/13384440 |
j-invariant |
L |
9.93330493146 |
L(r)(E,1)/r! |
Ω |
0.36104561440075 |
Real period |
R |
0.76423899351762 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000776 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24990r1 74970cr1 |
Quadratic twists by: -3 -7 |