Atkin-Lehner |
2+ 7- 23- 41- |
Signs for the Atkin-Lehner involutions |
Class |
92414m |
Isogeny class |
Conductor |
92414 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
65280 |
Modular degree for the optimal curve |
Δ |
25011017374 = 2 · 73 · 232 · 413 |
Discriminant |
Eigenvalues |
2+ -1 1 7- 0 0 -7 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1222,14078] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:153:1] [62:543:8] |
Generators of the group modulo torsion |
j |
589112717887/72918418 |
j-invariant |
L |
7.2213010843842 |
L(r)(E,1)/r! |
Ω |
1.1525151211227 |
Real period |
R |
0.52214073320237 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999255 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
92414i1 |
Quadratic twists by: -7 |