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 |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
22557677546250000 = 24 · 314 · 57 · 73 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11- -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-112730,12677897] |
[a1,a2,a3,a4,a6] |
Generators |
[-237:5221:1] |
Generators of the group modulo torsion |
j |
13908844989649/1980372240 |
j-invariant |
L |
9.4799043423702 |
L(r)(E,1)/r! |
Ω |
0.3658603526812 |
Real period |
R |
1.0796360178705 |
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 |
11550z1 6930m1 |
Quadratic twists by: -3 5 |