Atkin-Lehner |
3+ 7- 11+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
59829c |
Isogeny class |
Conductor |
59829 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
191197389999 = 3 · 76 · 114 · 37 |
Discriminant |
Eigenvalues |
1 3+ -2 7- 11+ 6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-29131,1901530] |
[a1,a2,a3,a4,a6] |
Generators |
[1078:4801:8] |
Generators of the group modulo torsion |
j |
23239401850153/1625151 |
j-invariant |
L |
5.5050831862425 |
L(r)(E,1)/r! |
Ω |
0.95824106575946 |
Real period |
R |
5.7449877521153 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997829 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1221a3 |
Quadratic twists by: -7 |