Atkin-Lehner |
2+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
11858t |
Isogeny class |
Conductor |
11858 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
207360 |
Modular degree for the optimal curve |
Δ |
-14822420912262656 = -1 · 29 · 711 · 114 |
Discriminant |
Eigenvalues |
2+ -3 -2 7- 11- -5 -8 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-51508,-7373360] |
[a1,a2,a3,a4,a6] |
Generators |
[597:12907:1] |
Generators of the group modulo torsion |
j |
-8773917273/8605184 |
j-invariant |
L |
1.1586021586263 |
L(r)(E,1)/r! |
Ω |
0.15239065089439 |
Real period |
R |
0.6335702309746 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
94864dg1 106722ha1 1694b1 11858bp1 |
Quadratic twists by: -4 -3 -7 -11 |