Atkin-Lehner |
2- 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
94178n |
Isogeny class |
Conductor |
94178 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
2257920 |
Modular degree for the optimal curve |
Δ |
-317209490679413822 = -1 · 2 · 78 · 317 |
Discriminant |
Eigenvalues |
2- -1 4 7+ -4 1 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-707316,-230857229] |
[a1,a2,a3,a4,a6] |
Generators |
[11108841430:637846458277:3112136] |
Generators of the group modulo torsion |
j |
-7649089/62 |
j-invariant |
L |
11.24323189464 |
L(r)(E,1)/r! |
Ω |
0.08227275665896 |
Real period |
R |
11.388168201338 |
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 |
94178y1 3038f1 |
Quadratic twists by: -7 -31 |