Atkin-Lehner |
2- 3+ 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
25350cg |
Isogeny class |
Conductor |
25350 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
-19577537304000 = -1 · 26 · 3 · 53 · 138 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 -2 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,6672,-33519] |
[a1,a2,a3,a4,a6] |
Generators |
[15:257:1] |
Generators of the group modulo torsion |
j |
54439939/32448 |
j-invariant |
L |
7.4231062622084 |
L(r)(E,1)/r! |
Ω |
0.40018477820459 |
Real period |
R |
3.0915328228757 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
76050co1 25350br1 1950e1 |
Quadratic twists by: -3 5 13 |