Atkin-Lehner |
2+ 3+ 13- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
107328d |
Isogeny class |
Conductor |
107328 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
497664 |
Modular degree for the optimal curve |
Δ |
27903583358976 = 212 · 3 · 134 · 433 |
Discriminant |
Eigenvalues |
2+ 3+ 2 2 0 13- -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-317577,68990025] |
[a1,a2,a3,a4,a6] |
j |
864793182289567168/6812398281 |
j-invariant |
L |
2.3889751944174 |
L(r)(E,1)/r! |
Ω |
0.59724389688849 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
107328bb1 53664m1 |
Quadratic twists by: -4 8 |