Atkin-Lehner |
3+ 5- 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
48825k |
Isogeny class |
Conductor |
48825 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
195840 |
Modular degree for the optimal curve |
Δ |
11679092578125 = 39 · 58 · 72 · 31 |
Discriminant |
Eigenvalues |
2 3+ 5- 7+ 1 -2 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-64125,-6247969] |
[a1,a2,a3,a4,a6] |
Generators |
[-12293556:2065757:85184] |
Generators of the group modulo torsion |
j |
3792752640/1519 |
j-invariant |
L |
11.647579982152 |
L(r)(E,1)/r! |
Ω |
0.3000220325345 |
Real period |
R |
9.7056038549391 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000015 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48825l1 48825h1 |
Quadratic twists by: -3 5 |