Atkin-Lehner |
3+ 7- 67- |
Signs for the Atkin-Lehner involutions |
Class |
29547f |
Isogeny class |
Conductor |
29547 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-10395111163563 = -1 · 39 · 76 · 672 |
Discriminant |
Eigenvalues |
-1 3+ -2 7- -4 -2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,5209,-57158] |
[a1,a2,a3,a4,a6] |
Generators |
[58:-691:1] |
Generators of the group modulo torsion |
j |
6751269/4489 |
j-invariant |
L |
1.7922290096518 |
L(r)(E,1)/r! |
Ω |
0.4111371354044 |
Real period |
R |
1.0898000054707 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29547e2 603b2 |
Quadratic twists by: -3 -7 |