Atkin-Lehner |
3+ 5+ 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
67155a |
Isogeny class |
Conductor |
67155 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1031685848750390625 = 32 · 58 · 118 · 372 |
Discriminant |
Eigenvalues |
1 3+ 5+ 0 11- 6 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-935453,344406528] |
[a1,a2,a3,a4,a6] |
Generators |
[40212:12457898:729] |
Generators of the group modulo torsion |
j |
51101569963777969/582359765625 |
j-invariant |
L |
4.8544576118976 |
L(r)(E,1)/r! |
Ω |
0.27807688421441 |
Real period |
R |
8.7286248664095 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999984393 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
6105b2 |
Quadratic twists by: -11 |