Atkin-Lehner |
2+ 3+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
36414b |
Isogeny class |
Conductor |
36414 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
274176 |
Modular degree for the optimal curve |
Δ |
-5334319860588054 = -1 · 2 · 33 · 72 · 1710 |
Discriminant |
Eigenvalues |
2+ 3+ -1 7+ 3 4 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-15660,-3590098] |
[a1,a2,a3,a4,a6] |
Generators |
[209:1390:1] |
Generators of the group modulo torsion |
j |
-7803/98 |
j-invariant |
L |
3.5148443562837 |
L(r)(E,1)/r! |
Ω |
0.18327740274755 |
Real period |
R |
4.7944322425902 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999984 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36414bs1 36414m1 |
Quadratic twists by: -3 17 |