Atkin-Lehner |
2+ 3- 5- 101- |
Signs for the Atkin-Lehner involutions |
Class |
45450bh |
Isogeny class |
Conductor |
45450 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
7058892761718750 = 2 · 311 · 59 · 1012 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 -2 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2918367,-1918191209] |
[a1,a2,a3,a4,a6] |
Generators |
[-985:524:1] [2626195:-3275579:1331] |
Generators of the group modulo torsion |
j |
1930571745696413/4957686 |
j-invariant |
L |
6.9372086227927 |
L(r)(E,1)/r! |
Ω |
0.115508684595 |
Real period |
R |
30.028948243655 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15150bf2 45450cl2 |
Quadratic twists by: -3 5 |