Atkin-Lehner |
2+ 3- 7+ 13- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
99918i |
Isogeny class |
Conductor |
99918 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
117120 |
Modular degree for the optimal curve |
Δ |
210427308 = 22 · 36 · 7 · 132 · 61 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ -3 13- -1 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-7236,-235116] |
[a1,a2,a3,a4,a6] |
Generators |
[-1320:686:27] |
Generators of the group modulo torsion |
j |
57481172513857/288652 |
j-invariant |
L |
4.4928823140532 |
L(r)(E,1)/r! |
Ω |
0.51763333025223 |
Real period |
R |
2.16991547122 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000060361 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11102e1 |
Quadratic twists by: -3 |