Atkin-Lehner |
2+ 3+ 7- 19+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
34314c |
Isogeny class |
Conductor |
34314 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
13195395945381888 = 214 · 32 · 78 · 192 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ 4 7- 2 -2 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-3760248,-2808112320] |
[a1,a2,a3,a4,a6] |
Generators |
[91920:4124920:27] |
Generators of the group modulo torsion |
j |
5879946294680097948158089/13195395945381888 |
j-invariant |
L |
5.3213490556416 |
L(r)(E,1)/r! |
Ω |
0.10841652321647 |
Real period |
R |
3.0676533992293 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
102942bp2 |
Quadratic twists by: -3 |