Atkin-Lehner |
2+ 3- 7+ 17+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
126378h |
Isogeny class |
Conductor |
126378 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3041280 |
Modular degree for the optimal curve |
Δ |
-1027529885170222056 = -1 · 23 · 317 · 75 · 17 · 592 |
Discriminant |
Eigenvalues |
2+ 3- -3 7+ 3 3 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1616256,792791496] |
[a1,a2,a3,a4,a6] |
j |
-640511284163761575937/1409506015322664 |
j-invariant |
L |
1.1104213685363 |
L(r)(E,1)/r! |
Ω |
0.27760452857412 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42126w1 |
Quadratic twists by: -3 |