Atkin-Lehner |
2- 3- 5- 7- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
107310do |
Isogeny class |
Conductor |
107310 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
2.3588681945801E+19 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -4 6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-742155,77111775] |
[a1,a2,a3,a4,a6] |
Generators |
[6630:41535:8] |
Generators of the group modulo torsion |
j |
384254853459661729/200500488281250 |
j-invariant |
L |
15.134446535058 |
L(r)(E,1)/r! |
Ω |
0.18762148922191 |
Real period |
R |
5.0415488684938 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000018493 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2190j3 |
Quadratic twists by: -7 |