Atkin-Lehner |
2- 3+ 5+ 7- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
104370cb |
Isogeny class |
Conductor |
104370 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
19577528906250 = 2 · 3 · 58 · 76 · 71 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 0 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-111966,-14465487] |
[a1,a2,a3,a4,a6] |
Generators |
[50004:1215591:64] |
Generators of the group modulo torsion |
j |
1319453848668241/166406250 |
j-invariant |
L |
6.7191061693984 |
L(r)(E,1)/r! |
Ω |
0.2609944548137 |
Real period |
R |
6.4360621667439 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4.0000000142714 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2130o4 |
Quadratic twists by: -7 |