Atkin-Lehner |
2+ 3- 5+ 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
63210t |
Isogeny class |
Conductor |
63210 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
921600 |
Modular degree for the optimal curve |
Δ |
-110684395380037500 = -1 · 22 · 36 · 55 · 710 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 0 0 -8 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,93956,-11539258] |
[a1,a2,a3,a4,a6] |
Generators |
[235:4733:1] |
Generators of the group modulo torsion |
j |
779678707855319/940801837500 |
j-invariant |
L |
5.0900175333979 |
L(r)(E,1)/r! |
Ω |
0.17899891429457 |
Real period |
R |
2.3696687179847 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000615 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9030f1 |
Quadratic twists by: -7 |