Atkin-Lehner |
2+ 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
116032m |
Isogeny class |
Conductor |
116032 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
96768 |
Modular degree for the optimal curve |
Δ |
71319764992 = 214 · 76 · 37 |
Discriminant |
Eigenvalues |
2+ -1 -2 7- -1 -6 4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1829,-26627] |
[a1,a2,a3,a4,a6] |
Generators |
[-28:43:1] |
Generators of the group modulo torsion |
j |
351232/37 |
j-invariant |
L |
2.5258751769794 |
L(r)(E,1)/r! |
Ω |
0.73497954536502 |
Real period |
R |
3.4366604731177 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000098474 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116032bk1 14504c1 2368f1 |
Quadratic twists by: -4 8 -7 |