Atkin-Lehner |
2- 7- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
113344eb |
Isogeny class |
Conductor |
113344 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
301056 |
Modular degree for the optimal curve |
Δ |
218477498466304 = 220 · 77 · 11 · 23 |
Discriminant |
Eigenvalues |
2- -1 1 7- 11+ -3 -2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-56705,5167393] |
[a1,a2,a3,a4,a6] |
Generators |
[-171:3136:1] [39:1736:1] |
Generators of the group modulo torsion |
j |
76922876001889/833425516 |
j-invariant |
L |
10.536979224631 |
L(r)(E,1)/r! |
Ω |
0.56291262092821 |
Real period |
R |
0.6685241591566 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000247 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113344o1 28336br1 |
Quadratic twists by: -4 8 |