Atkin-Lehner |
2- 3+ 7- 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
114576bh |
Isogeny class |
Conductor |
114576 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
145152 |
Modular degree for the optimal curve |
Δ |
-949567390464 = -1 · 28 · 3 · 73 · 112 · 313 |
Discriminant |
Eigenvalues |
2- 3+ -1 7- 11+ -5 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,2379,13497] |
[a1,a2,a3,a4,a6] |
Generators |
[1:126:1] [281:4774:1] |
Generators of the group modulo torsion |
j |
5814126903296/3709247619 |
j-invariant |
L |
9.4674903903746 |
L(r)(E,1)/r! |
Ω |
0.54902717103467 |
Real period |
R |
0.47900333188073 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999984188 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28644o1 |
Quadratic twists by: -4 |