Atkin-Lehner |
2+ 3- 5- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
19350bh |
Isogeny class |
Conductor |
19350 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
302400 |
Modular degree for the optimal curve |
Δ |
-17253388800000000 = -1 · 215 · 36 · 58 · 432 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 1 2 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2735367,-1740619459] |
[a1,a2,a3,a4,a6] |
Generators |
[2413134727381630805:910873941546977133058:16889532268393] |
Generators of the group modulo torsion |
j |
-7948461006944145/60588032 |
j-invariant |
L |
3.5571455139385 |
L(r)(E,1)/r! |
Ω |
0.058696938787502 |
Real period |
R |
30.300945734293 |
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 |
2150r1 19350cd1 |
Quadratic twists by: -3 5 |