Atkin-Lehner |
7+ 19+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
93499b |
Isogeny class |
Conductor |
93499 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
41280 |
Modular degree for the optimal curve |
Δ |
-2432002489 = -1 · 7 · 193 · 373 |
Discriminant |
Eigenvalues |
-1 -2 -1 7+ -4 4 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,154,-2243] |
[a1,a2,a3,a4,a6] |
Generators |
[49:-376:1] [389:7484:1] |
Generators of the group modulo torsion |
j |
58863869/354571 |
j-invariant |
L |
4.4234643933019 |
L(r)(E,1)/r! |
Ω |
0.72546659640924 |
Real period |
R |
1.0162343369056 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000017 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
93499a1 |
Quadratic twists by: -19 |