Atkin-Lehner |
3- 5- 7- 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
33915t |
Isogeny class |
Conductor |
33915 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-49730412375 = -1 · 33 · 53 · 74 · 17 · 192 |
Discriminant |
Eigenvalues |
-1 3- 5- 7- 0 4 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,885,3600] |
[a1,a2,a3,a4,a6] |
Generators |
[15:-150:1] |
Generators of the group modulo torsion |
j |
76651887468239/49730412375 |
j-invariant |
L |
5.2635094701475 |
L(r)(E,1)/r! |
Ω |
0.70442929285042 |
Real period |
R |
0.41511219898697 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
101745p1 |
Quadratic twists by: -3 |