Atkin-Lehner |
3+ 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
123627a |
Isogeny class |
Conductor |
123627 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-5.4669942720027E+21 |
Discriminant |
Eigenvalues |
-2 3+ -2 7+ 2 1 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-37596344,-88787947186] |
[a1,a2,a3,a4,a6] |
Generators |
[37127809915940694288:84512684442731696305051:7165615654639] |
Generators of the group modulo torsion |
j |
-1713910976512/1594323 |
j-invariant |
L |
1.9404016154298 |
L(r)(E,1)/r! |
Ω |
0.030483085846611 |
Real period |
R |
31.827512890162 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123627t2 147b2 |
Quadratic twists by: -7 29 |