Atkin-Lehner |
2+ 3+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
51744v |
Isogeny class |
Conductor |
51744 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
292206233088 = 29 · 32 · 78 · 11 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- 11- -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2535472,-1553102648] |
[a1,a2,a3,a4,a6] |
Generators |
[759870038204025:20257358743111496:346688140625] |
Generators of the group modulo torsion |
j |
29925549856274696/4851 |
j-invariant |
L |
6.16327671797 |
L(r)(E,1)/r! |
Ω |
0.11964232269712 |
Real period |
R |
25.757092385996 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
51744ci4 103488dh4 7392e3 |
Quadratic twists by: -4 8 -7 |