Atkin-Lehner |
2- 3+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
48552z |
Isogeny class |
Conductor |
48552 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
9953280 |
Modular degree for the optimal curve |
Δ |
-1.0176223768821E+25 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 0 2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-204220212,1133805926340] |
[a1,a2,a3,a4,a6] |
Generators |
[-676:1127630:1] |
Generators of the group modulo torsion |
j |
-152435594466395827792/1646846627220711 |
j-invariant |
L |
6.4168029056485 |
L(r)(E,1)/r! |
Ω |
0.072690684336024 |
Real period |
R |
7.3562875402033 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000014 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
97104r1 2856h1 |
Quadratic twists by: -4 17 |