Atkin-Lehner |
2- 3- 7- 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
118482cr |
Isogeny class |
Conductor |
118482 |
Conductor |
∏ cp |
352 |
Product of Tamagawa factors cp |
deg |
10745856 |
Modular degree for the optimal curve |
Δ |
-4917794638609052928 = -1 · 28 · 322 · 72 · 13 · 312 |
Discriminant |
Eigenvalues |
2- 3- -2 7- -1 13+ -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-73463384,242350310208] |
[a1,a2,a3,a4,a6] |
Generators |
[4786:17290:1] |
Generators of the group modulo torsion |
j |
-894829764705004093336248913/100363155889980672 |
j-invariant |
L |
10.486431986018 |
L(r)(E,1)/r! |
Ω |
0.18803901706216 |
Real period |
R |
0.15842988559473 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999243 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
118482by1 |
Quadratic twists by: -7 |