Atkin-Lehner |
2+ 3- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
34104n |
Isogeny class |
Conductor |
34104 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
2246375263168512 = 211 · 38 · 78 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 4 0 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-51368,-3874704] |
[a1,a2,a3,a4,a6] |
Generators |
[1675:67914:1] |
Generators of the group modulo torsion |
j |
62214547250/9323181 |
j-invariant |
L |
7.5088445156034 |
L(r)(E,1)/r! |
Ω |
0.32030580060595 |
Real period |
R |
2.930342075213 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
68208d2 102312bm2 4872a2 |
Quadratic twists by: -4 -3 -7 |