Atkin-Lehner |
2- 5+ 7- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
102410bn |
Isogeny class |
Conductor |
102410 |
Conductor |
∏ cp |
176 |
Product of Tamagawa factors cp |
deg |
946176 |
Modular degree for the optimal curve |
Δ |
-39705910590832640 = -1 · 222 · 5 · 77 · 112 · 19 |
Discriminant |
Eigenvalues |
2- -1 5+ 7- 11- -2 1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-69826,11901903] |
[a1,a2,a3,a4,a6] |
Generators |
[-183:4403:1] [-7:3523:1] |
Generators of the group modulo torsion |
j |
-320027539885201/337494671360 |
j-invariant |
L |
13.61276371659 |
L(r)(E,1)/r! |
Ω |
0.3303009428115 |
Real period |
R |
0.2341659933594 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001127 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14630t1 |
Quadratic twists by: -7 |