Atkin-Lehner |
2- 3+ 7+ 13+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
20202f |
Isogeny class |
Conductor |
20202 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
113664 |
Modular degree for the optimal curve |
Δ |
174381191921664 = 224 · 32 · 74 · 13 · 37 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ -6 13+ 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-19964,-888739] |
[a1,a2,a3,a4,a6] |
Generators |
[-67:425:1] |
Generators of the group modulo torsion |
j |
879969774932692417/174381191921664 |
j-invariant |
L |
4.7659908251619 |
L(r)(E,1)/r! |
Ω |
0.40719990531764 |
Real period |
R |
0.48767926626482 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
60606k1 |
Quadratic twists by: -3 |