Atkin-Lehner |
2+ 3- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
109368q |
Isogeny class |
Conductor |
109368 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1327104 |
Modular degree for the optimal curve |
Δ |
170191974141004032 = 28 · 312 · 79 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 2 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1547175,740459482] |
[a1,a2,a3,a4,a6] |
j |
18654615250000/7751457 |
j-invariant |
L |
1.2662753572534 |
L(r)(E,1)/r! |
Ω |
0.3165689930316 |
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 |
36456ba1 15624l1 |
Quadratic twists by: -3 -7 |