Atkin-Lehner |
2- 3+ 29+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
25404b |
Isogeny class |
Conductor |
25404 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
20016 |
Modular degree for the optimal curve |
Δ |
-6238511088 = -1 · 24 · 3 · 293 · 732 |
Discriminant |
Eigenvalues |
2- 3+ -2 -1 -3 -5 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4854,131853] |
[a1,a2,a3,a4,a6] |
Generators |
[47:73:1] |
Generators of the group modulo torsion |
j |
-790664998796032/389906943 |
j-invariant |
L |
2.6891882771199 |
L(r)(E,1)/r! |
Ω |
1.3219837046085 |
Real period |
R |
1.0171034135085 |
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 |
101616o1 76212n1 |
Quadratic twists by: -4 -3 |