Atkin-Lehner |
2- 5+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
113600ch |
Isogeny class |
Conductor |
113600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1419264 |
Modular degree for the optimal curve |
Δ |
6301250000000000 = 210 · 513 · 712 |
Discriminant |
Eigenvalues |
2- 0 5+ -2 0 4 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2601800,-1615317000] |
[a1,a2,a3,a4,a6] |
Generators |
[-182671707435:-13094840625:196122941] |
Generators of the group modulo torsion |
j |
121737802368374784/393828125 |
j-invariant |
L |
6.0566578130787 |
L(r)(E,1)/r! |
Ω |
0.1188724357364 |
Real period |
R |
12.737725433177 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000034913 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
113600a1 28400d1 22720bk1 |
Quadratic twists by: -4 8 5 |