Atkin-Lehner |
3- 5- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
48825bv |
Isogeny class |
Conductor |
48825 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
307200 |
Modular degree for the optimal curve |
Δ |
105111833203125 = 311 · 58 · 72 · 31 |
Discriminant |
Eigenvalues |
-2 3- 5- 7- -1 -6 1 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-37875,2793906] |
[a1,a2,a3,a4,a6] |
Generators |
[-100:2362:1] [50:-1013:1] |
Generators of the group modulo torsion |
j |
21100564480/369117 |
j-invariant |
L |
5.1633033684251 |
L(r)(E,1)/r! |
Ω |
0.59652826221219 |
Real period |
R |
0.3606495349496 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999965 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16275y1 48825u1 |
Quadratic twists by: -3 5 |