Atkin-Lehner |
2- 3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
34650dp |
Isogeny class |
Conductor |
34650 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
643524280136718750 = 2 · 38 · 510 · 73 · 114 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11- -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-7422980,-7782276103] |
[a1,a2,a3,a4,a6] |
Generators |
[-12546:6395:8] |
Generators of the group modulo torsion |
j |
3971101377248209009/56495958750 |
j-invariant |
L |
9.4799043423702 |
L(r)(E,1)/r! |
Ω |
0.091465088170301 |
Real period |
R |
4.3185440714821 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11550z3 6930m3 |
Quadratic twists by: -3 5 |