Atkin-Lehner |
2- 3- 5+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
64350dq |
Isogeny class |
Conductor |
64350 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
442368 |
Modular degree for the optimal curve |
Δ |
-819902655000000 = -1 · 26 · 36 · 57 · 113 · 132 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 11+ 13+ -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,23395,23397] |
[a1,a2,a3,a4,a6] |
Generators |
[129:2210:1] |
Generators of the group modulo torsion |
j |
124326214271/71980480 |
j-invariant |
L |
11.535357118041 |
L(r)(E,1)/r! |
Ω |
0.30066022543409 |
Real period |
R |
1.5986147792726 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7150g1 12870w1 |
Quadratic twists by: -3 5 |