Atkin-Lehner |
2- 5- 7+ 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
30940j |
Isogeny class |
Conductor |
30940 |
Conductor |
∏ cp |
25 |
Product of Tamagawa factors cp |
deg |
88800 |
Modular degree for the optimal curve |
Δ |
-6460349350000 = -1 · 24 · 55 · 7 · 13 · 175 |
Discriminant |
Eigenvalues |
2- -2 5- 7+ 1 13- 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-58570,5437725] |
[a1,a2,a3,a4,a6] |
Generators |
[205:-1445:1] |
Generators of the group modulo torsion |
j |
-1388790754035310336/403771834375 |
j-invariant |
L |
4.1616215251632 |
L(r)(E,1)/r! |
Ω |
0.73512287220162 |
Real period |
R |
0.22644494859476 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123760bx1 |
Quadratic twists by: -4 |