Atkin-Lehner |
2- 3+ 5+ 11+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
73260a |
Isogeny class |
Conductor |
73260 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
150439410000 = 24 · 33 · 54 · 11 · 373 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 11+ 2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-557208,160093657] |
[a1,a2,a3,a4,a6] |
Generators |
[1181136:25409375:1331] |
Generators of the group modulo torsion |
j |
44288604333860585472/348239375 |
j-invariant |
L |
6.4772908453207 |
L(r)(E,1)/r! |
Ω |
0.71109346756097 |
Real period |
R |
9.1089162543563 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000445 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
73260e3 |
Quadratic twists by: -3 |