Atkin-Lehner |
5- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
117325l |
Isogeny class |
Conductor |
117325 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
224352 |
Modular degree for the optimal curve |
Δ |
-27598289941625 = -1 · 53 · 13 · 198 |
Discriminant |
Eigenvalues |
1 -1 5- -4 -3 13+ 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,715,-252350] |
[a1,a2,a3,a4,a6] |
Generators |
[150:-1880:1] [12254:1350436:1] |
Generators of the group modulo torsion |
j |
19/13 |
j-invariant |
L |
8.7803888824507 |
L(r)(E,1)/r! |
Ω |
0.31103131536167 |
Real period |
R |
4.7049865207784 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000005183 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
117325r1 117325u1 |
Quadratic twists by: 5 -19 |