Atkin-Lehner |
3+ 5- 103- |
Signs for the Atkin-Lehner involutions |
Class |
7725f |
Isogeny class |
Conductor |
7725 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
4800 |
Modular degree for the optimal curve |
Δ |
-3801279375 = -1 · 310 · 54 · 103 |
Discriminant |
Eigenvalues |
-1 3+ 5- 1 6 -1 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,312,-1944] |
[a1,a2,a3,a4,a6] |
Generators |
[70:572:1] |
Generators of the group modulo torsion |
j |
5373044975/6082047 |
j-invariant |
L |
2.5472445502889 |
L(r)(E,1)/r! |
Ω |
0.75297788362648 |
Real period |
R |
0.563815707756 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123600cr1 23175v1 7725i1 |
Quadratic twists by: -4 -3 5 |