Atkin-Lehner |
3+ 7- 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
64239f |
Isogeny class |
Conductor |
64239 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
174720 |
Modular degree for the optimal curve |
Δ |
-18308887602453 = -1 · 38 · 72 · 195 · 23 |
Discriminant |
Eigenvalues |
-1 3+ -2 7- 3 -4 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-40139,3085382] |
[a1,a2,a3,a4,a6] |
Generators |
[120:61:1] |
Generators of the group modulo torsion |
j |
-145958016844338433/373650767397 |
j-invariant |
L |
2.6143824844762 |
L(r)(E,1)/r! |
Ω |
0.69117799150488 |
Real period |
R |
1.8912512527166 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996506 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64239i1 |
Quadratic twists by: -7 |