Atkin-Lehner |
2- 3+ 5+ 7- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
63630ba |
Isogeny class |
Conductor |
63630 |
Conductor |
∏ cp |
88 |
Product of Tamagawa factors cp |
deg |
1520640 |
Modular degree for the optimal curve |
Δ |
911991177216000000 = 222 · 39 · 56 · 7 · 101 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -4 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2304398,-1345071203] |
[a1,a2,a3,a4,a6] |
Generators |
[-893:635:1] |
Generators of the group modulo torsion |
j |
68755067353633905243/46333952000000 |
j-invariant |
L |
9.1711464099866 |
L(r)(E,1)/r! |
Ω |
0.1225399686026 |
Real period |
R |
3.401912829928 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998768 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
63630e1 |
Quadratic twists by: -3 |