Atkin-Lehner |
2- 3- 5- 11- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
34980p |
Isogeny class |
Conductor |
34980 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
Δ |
7424122010976000 = 28 · 35 · 53 · 112 · 534 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 11- 0 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-151700,-22411500] |
[a1,a2,a3,a4,a6] |
Generators |
[-245:330:1] |
Generators of the group modulo torsion |
j |
1508145880006324816/29000476605375 |
j-invariant |
L |
7.4517461731134 |
L(r)(E,1)/r! |
Ω |
0.24219222822297 |
Real period |
R |
2.051193309763 |
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 |
104940t2 |
Quadratic twists by: -3 |