Atkin-Lehner |
2- 3- 5- 53- |
Signs for the Atkin-Lehner involutions |
Class |
63600dt |
Isogeny class |
Conductor |
63600 |
Conductor |
∏ cp |
156 |
Product of Tamagawa factors cp |
deg |
464256 |
Modular degree for the optimal curve |
Δ |
-7595456808672000 = -1 · 28 · 313 · 53 · 533 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 -2 6 5 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-98213,12534303] |
[a1,a2,a3,a4,a6] |
Generators |
[199:954:1] |
Generators of the group modulo torsion |
j |
-3274048339116032/237358025271 |
j-invariant |
L |
8.281933756636 |
L(r)(E,1)/r! |
Ω |
0.40963466978372 |
Real period |
R |
0.12960162523154 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995552 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15900b1 63600ch1 |
Quadratic twists by: -4 5 |