Atkin-Lehner |
2- 3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
7650bw |
Isogeny class |
Conductor |
7650 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-711048375000000 = -1 · 26 · 39 · 59 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 0 4 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,5620,1271247] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:1125:1] |
Generators of the group modulo torsion |
j |
1723683599/62424000 |
j-invariant |
L |
6.0403813361987 |
L(r)(E,1)/r! |
Ω |
0.38388021426702 |
Real period |
R |
0.65562783993832 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
61200ev1 2550d1 1530d1 |
Quadratic twists by: -4 -3 5 |