Atkin-Lehner |
2+ 3- 11- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
112464h |
Isogeny class |
Conductor |
112464 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
1041397294392576 = 28 · 316 · 113 · 71 |
Discriminant |
Eigenvalues |
2+ 3- 3 -1 11- 1 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-25356,66908] |
[a1,a2,a3,a4,a6] |
Generators |
[217:2187:1] |
Generators of the group modulo torsion |
j |
9660474262528/5580189549 |
j-invariant |
L |
9.0294779797297 |
L(r)(E,1)/r! |
Ω |
0.41799273868346 |
Real period |
R |
1.8001664357023 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999968842 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
56232l1 37488f1 |
Quadratic twists by: -4 -3 |