Atkin-Lehner |
2- 3+ 5- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
3690o |
Isogeny class |
Conductor |
3690 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
864 |
Modular degree for the optimal curve |
Δ |
-70848000 = -1 · 29 · 33 · 53 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 5- -1 0 -4 -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-62,461] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:19:1] |
Generators of the group modulo torsion |
j |
-961504803/2624000 |
j-invariant |
L |
5.1953568717355 |
L(r)(E,1)/r! |
Ω |
1.7174532317414 |
Real period |
R |
0.50417257131243 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
29520bb1 118080b1 3690a2 18450a1 |
Quadratic twists by: -4 8 -3 5 |