Atkin-Lehner |
3+ 5- 31+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
109275g |
Isogeny class |
Conductor |
109275 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
518400 |
Modular degree for the optimal curve |
Δ |
5638877018983125 = 33 · 54 · 31 · 476 |
Discriminant |
Eigenvalues |
0 3+ 5- 0 5 -6 -1 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-45783,-1063807] |
[a1,a2,a3,a4,a6] |
Generators |
[-1334:11041:8] |
Generators of the group modulo torsion |
j |
16981104003481600/9022203230373 |
j-invariant |
L |
4.6903792565445 |
L(r)(E,1)/r! |
Ω |
0.34668505323769 |
Real period |
R |
0.75162348007034 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999677906 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
109275j1 |
Quadratic twists by: 5 |