Atkin-Lehner |
2+ 3+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
73920n |
Isogeny class |
Conductor |
73920 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
149874278400 = 218 · 33 · 52 · 7 · 112 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 11- 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-195148801,-1049228361215] |
[a1,a2,a3,a4,a6] |
Generators |
[-46878469588338:14998001:5812581592] |
Generators of the group modulo torsion |
j |
3135316978843283198764801/571725 |
j-invariant |
L |
5.0675696882471 |
L(r)(E,1)/r! |
Ω |
0.040393183516905 |
Real period |
R |
15.682007607216 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
3.999999998984 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
73920gd6 1155m5 |
Quadratic twists by: -4 8 |