Atkin-Lehner |
2- 3+ 5+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
10650w |
Isogeny class |
Conductor |
10650 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
-1.90208579751E+19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 0 4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-299588,-219244219] |
[a1,a2,a3,a4,a6] |
Generators |
[815:8467:1] |
Generators of the group modulo torsion |
j |
-190316752233854329/1217334910406400 |
j-invariant |
L |
5.5608199260749 |
L(r)(E,1)/r! |
Ω |
0.090972056869146 |
Real period |
R |
1.2734725267694 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
85200cv1 31950p1 2130f1 |
Quadratic twists by: -4 -3 5 |