Atkin-Lehner |
2- 3- 5+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
101430eh |
Isogeny class |
Conductor |
101430 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
49710043731600 = 24 · 38 · 52 · 77 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 2 -4 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-10373,226797] |
[a1,a2,a3,a4,a6] |
Generators |
[-103:492:1] |
Generators of the group modulo torsion |
j |
1439069689/579600 |
j-invariant |
L |
9.4288572314525 |
L(r)(E,1)/r! |
Ω |
0.57563195955579 |
Real period |
R |
1.0237506209208 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000016099 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33810q1 14490cb1 |
Quadratic twists by: -3 -7 |