Atkin-Lehner |
3+ 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
35739d |
Isogeny class |
Conductor |
35739 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-2711410713 = -1 · 33 · 114 · 193 |
Discriminant |
Eigenvalues |
-1 3+ 0 -4 11+ 4 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,160,2340] |
[a1,a2,a3,a4,a6] |
Generators |
[5:-60:1] |
Generators of the group modulo torsion |
j |
2460375/14641 |
j-invariant |
L |
2.2976026986471 |
L(r)(E,1)/r! |
Ω |
1.0396008690706 |
Real period |
R |
1.1050407743026 |
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 |
35739h2 35739c2 |
Quadratic twists by: -3 -19 |