Atkin-Lehner |
2- 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
5200ba |
Isogeny class |
Conductor |
5200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
665600000000000 = 220 · 511 · 13 |
Discriminant |
Eigenvalues |
2- 2 5+ -4 2 13- -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-336408,75203312] |
[a1,a2,a3,a4,a6] |
Generators |
[-478:11250:1] |
Generators of the group modulo torsion |
j |
65787589563409/10400000 |
j-invariant |
L |
4.8271812932169 |
L(r)(E,1)/r! |
Ω |
0.49408240234144 |
Real period |
R |
2.4424980885481 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
650e1 20800cr1 46800el1 1040e1 |
Quadratic twists by: -4 8 -3 5 |