Atkin-Lehner |
2+ 5+ 7+ 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
113050k |
Isogeny class |
Conductor |
113050 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1368576 |
Modular degree for the optimal curve |
Δ |
-38000627000000000 = -1 · 29 · 59 · 76 · 17 · 19 |
Discriminant |
Eigenvalues |
2+ -1 5+ 7+ 3 -2 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-632900,193762000] |
[a1,a2,a3,a4,a6] |
Generators |
[2710:32945:8] |
Generators of the group modulo torsion |
j |
-1794361925184671809/2432040128000 |
j-invariant |
L |
3.9401253550131 |
L(r)(E,1)/r! |
Ω |
0.36398561559077 |
Real period |
R |
2.7062370183637 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999156335 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22610p1 |
Quadratic twists by: 5 |