Atkin-Lehner |
2+ 3+ 13- 103- |
Signs for the Atkin-Lehner involutions |
Class |
64272c |
Isogeny class |
Conductor |
64272 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
9728 |
Modular degree for the optimal curve |
Δ |
-4113408 = -1 · 210 · 3 · 13 · 103 |
Discriminant |
Eigenvalues |
2+ 3+ 0 1 3 13- 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,32,-80] |
[a1,a2,a3,a4,a6] |
Generators |
[14:54:1] |
Generators of the group modulo torsion |
j |
3429500/4017 |
j-invariant |
L |
5.6766361529392 |
L(r)(E,1)/r! |
Ω |
1.3270494588337 |
Real period |
R |
2.1388186080323 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000482 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32136g1 |
Quadratic twists by: -4 |