Atkin-Lehner |
2+ 3+ 5+ 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
91350a |
Isogeny class |
Conductor |
91350 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
87091200 |
Modular degree for the optimal curve |
Δ |
8.2829310115185E+27 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 0 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1930922817,32364050129341] |
[a1,a2,a3,a4,a6] |
Generators |
[9875164108146770:-138590553550693417:428149603153] |
Generators of the group modulo torsion |
j |
1887272733697942730217586227/19633614249525248000000 |
j-invariant |
L |
3.6393438001727 |
L(r)(E,1)/r! |
Ω |
0.041586124709565 |
Real period |
R |
21.878353825859 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999934167 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
91350dd3 18270be1 |
Quadratic twists by: -3 5 |