Atkin-Lehner |
2+ 3+ 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
55104r |
Isogeny class |
Conductor |
55104 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-273127714062336 = -1 · 221 · 33 · 76 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ -3 7- 0 1 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-11114657,-14258682591] |
[a1,a2,a3,a4,a6] |
Generators |
[13497:1514688:1] |
Generators of the group modulo torsion |
j |
-579257977790409391657/1041899544 |
j-invariant |
L |
4.0932426397272 |
L(r)(E,1)/r! |
Ω |
0.041342386187996 |
Real period |
R |
4.1253491242796 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999426 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55104dc2 1722g2 |
Quadratic twists by: -4 8 |