Atkin-Lehner |
2- 5+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
64400bq |
Isogeny class |
Conductor |
64400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3400704 |
Modular degree for the optimal curve |
Δ |
-2328839843750000 = -1 · 24 · 512 · 72 · 233 |
Discriminant |
Eigenvalues |
2- 1 5+ 7- 6 1 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-65820258,-205557744637] |
[a1,a2,a3,a4,a6] |
Generators |
[246665727699397694300215922311212454715559553346179:31769156900439888502442339425167447901712659165174475:12137078408429640554992711188158071709072327833] |
Generators of the group modulo torsion |
j |
-126142795384287538429696/9315359375 |
j-invariant |
L |
8.2989907807466 |
L(r)(E,1)/r! |
Ω |
0.026502061862056 |
Real period |
R |
78.286274705183 |
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 |
16100c1 12880x1 |
Quadratic twists by: -4 5 |