Atkin-Lehner |
2+ 3- 5+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
111630i |
Isogeny class |
Conductor |
111630 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-14288640000000 = -1 · 214 · 3 · 57 · 612 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 2 -2 -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-9289,-390388] |
[a1,a2,a3,a4,a6] |
Generators |
[123:514:1] [3198:9670:27] |
Generators of the group modulo torsion |
j |
-23817913882369/3840000000 |
j-invariant |
L |
9.442604504232 |
L(r)(E,1)/r! |
Ω |
0.2410209414103 |
Real period |
R |
19.588763638346 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999977509 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
111630u2 |
Quadratic twists by: 61 |