Atkin-Lehner |
2+ 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
9800b |
Isogeny class |
Conductor |
9800 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
120960 |
Modular degree for the optimal curve |
Δ |
-576480100000000000 = -1 · 211 · 511 · 78 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7+ -1 3 2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-294408,71616812] |
[a1,a2,a3,a4,a6] |
Generators |
[-2774:91875:8] |
Generators of the group modulo torsion |
j |
-15298178/3125 |
j-invariant |
L |
6.2089903621582 |
L(r)(E,1)/r! |
Ω |
0.27849676086539 |
Real period |
R |
1.8578882637823 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19600e1 78400k1 88200fm1 1960i1 |
Quadratic twists by: -4 8 -3 5 |