Atkin-Lehner |
2- 3- 5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
83790ej |
Isogeny class |
Conductor |
83790 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
28385280 |
Modular degree for the optimal curve |
Δ |
-3.8677404815133E+26 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -2 -2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,152150062,611108439617] |
[a1,a2,a3,a4,a6] |
Generators |
[-13346243402714188590264:-344226505176048864058229:3667139853520425472] |
Generators of the group modulo torsion |
j |
13241287869457332257/13147628906250000 |
j-invariant |
L |
9.041086223747 |
L(r)(E,1)/r! |
Ω |
0.035195770088029 |
Real period |
R |
32.109988651705 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999987057 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27930bs1 83790fd1 |
Quadratic twists by: -3 -7 |