Atkin-Lehner |
3- 7- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
73101f |
Isogeny class |
Conductor |
73101 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-4.494640226254E+23 |
Discriminant |
Eigenvalues |
1 3- -2 7- 0 0 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-29724332,-70224757855] |
[a1,a2,a3,a4,a6] |
Generators |
[5592069573111314700411:181488189013404727521986:812241971896983389] |
Generators of the group modulo torsion |
j |
-335267840123/51883209 |
j-invariant |
L |
8.3387017790679 |
L(r)(E,1)/r! |
Ω |
0.032055640140076 |
Real period |
R |
32.516515588081 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000795 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
73101g2 |
Quadratic twists by: -59 |