Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
117600dd |
Isogeny class |
Conductor |
117600 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-333534915000000000 = -1 · 29 · 34 · 510 · 77 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 4 6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-408,-27786312] |
[a1,a2,a3,a4,a6] |
Generators |
[2118:97350:1] |
Generators of the group modulo torsion |
j |
-8/354375 |
j-invariant |
L |
10.309534330731 |
L(r)(E,1)/r! |
Ω |
0.13948539193373 |
Real period |
R |
4.6194507255032 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010947 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
117600bb2 23520bg2 16800j4 |
Quadratic twists by: -4 5 -7 |