Atkin-Lehner |
2- 3+ 5- 13- 41- |
Signs for the Atkin-Lehner involutions |
Class |
31980d |
Isogeny class |
Conductor |
31980 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
864321367525574400 = 28 · 37 · 52 · 13 · 416 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 -2 13- 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-266500,-28254248] |
[a1,a2,a3,a4,a6] |
Generators |
[419307:13156900:343] |
Generators of the group modulo torsion |
j |
8176680279650376016/3376255341896775 |
j-invariant |
L |
4.7716410324942 |
L(r)(E,1)/r! |
Ω |
0.21791068383938 |
Real period |
R |
7.2990776900312 |
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 |
127920ch2 95940c2 |
Quadratic twists by: -4 -3 |