Atkin-Lehner |
2- 5- 17- 37- |
Signs for the Atkin-Lehner involutions |
Class |
6290i |
Isogeny class |
Conductor |
6290 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
3136 |
Modular degree for the optimal curve |
Δ |
-50320000 = -1 · 27 · 54 · 17 · 37 |
Discriminant |
Eigenvalues |
2- -2 5- -5 2 1 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,90,100] |
[a1,a2,a3,a4,a6] |
Generators |
[0:10:1] |
Generators of the group modulo torsion |
j |
80565593759/50320000 |
j-invariant |
L |
3.9247160692068 |
L(r)(E,1)/r! |
Ω |
1.2411251454874 |
Real period |
R |
0.11293658141787 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
50320v1 56610d1 31450b1 106930t1 |
Quadratic twists by: -4 -3 5 17 |