Atkin-Lehner |
2- 3- 5- 29+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
122670cf |
Isogeny class |
Conductor |
122670 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
430080 |
Modular degree for the optimal curve |
Δ |
81475506236160 = 28 · 36 · 5 · 292 · 473 |
Discriminant |
Eigenvalues |
2- 3- 5- 3 -1 1 -6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-18587,-868661] |
[a1,a2,a3,a4,a6] |
Generators |
[-61:218:1] |
Generators of the group modulo torsion |
j |
974096931523689/111763383040 |
j-invariant |
L |
13.625280365539 |
L(r)(E,1)/r! |
Ω |
0.41193929414524 |
Real period |
R |
0.68908213051978 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.00000000409 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13630b1 |
Quadratic twists by: -3 |