Atkin-Lehner |
2+ 3+ 5+ 11+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
77550a |
Isogeny class |
Conductor |
77550 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
311040 |
Modular degree for the optimal curve |
Δ |
277864235827200 = 215 · 33 · 52 · 112 · 473 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 1 11+ -5 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-41255,-3141195] |
[a1,a2,a3,a4,a6] |
Generators |
[-101:140:1] |
Generators of the group modulo torsion |
j |
310620365406204385/11114569433088 |
j-invariant |
L |
3.1350016445523 |
L(r)(E,1)/r! |
Ω |
0.33572470088592 |
Real period |
R |
4.6690065345786 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000013 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
77550cb1 |
Quadratic twists by: 5 |