Atkin-Lehner |
2- 3+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
19074v |
Isogeny class |
Conductor |
19074 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
967680 |
Modular degree for the optimal curve |
Δ |
-4196753320214999808 = -1 · 28 · 37 · 1110 · 172 |
Discriminant |
Eigenvalues |
2- 3+ -2 -1 11- 7 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-4684339,3901592177] |
[a1,a2,a3,a4,a6] |
Generators |
[1261:-1962:1] |
Generators of the group modulo torsion |
j |
-39334245666480232823953/14521637786211072 |
j-invariant |
L |
5.742827121394 |
L(r)(E,1)/r! |
Ω |
0.24191831859201 |
Real period |
R |
0.29673378781409 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
57222e1 19074bd1 |
Quadratic twists by: -3 17 |