Atkin-Lehner |
3+ 5- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
113925bk |
Isogeny class |
Conductor |
113925 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
2721600 |
Modular degree for the optimal curve |
Δ |
6206748638811328125 = 321 · 58 · 72 · 31 |
Discriminant |
Eigenvalues |
-1 3+ 5- 7- -5 2 7 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-482763,-48170844] |
[a1,a2,a3,a4,a6] |
Generators |
[274998570:9945641333:166375] |
Generators of the group modulo torsion |
j |
650084162720545/324270949293 |
j-invariant |
L |
2.9781281578924 |
L(r)(E,1)/r! |
Ω |
0.19072839139297 |
Real period |
R |
15.614498280124 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000062173 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113925bx1 113925ct1 |
Quadratic twists by: 5 -7 |