Atkin-Lehner |
2+ 5+ 31+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
94550c |
Isogeny class |
Conductor |
94550 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
399360 |
Modular degree for the optimal curve |
Δ |
-23637500000000 = -1 · 28 · 511 · 31 · 61 |
Discriminant |
Eigenvalues |
2+ 3 5+ -1 0 1 -2 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,6458,120116] |
[a1,a2,a3,a4,a6] |
Generators |
[5268:77366:27] |
Generators of the group modulo torsion |
j |
1906162757199/1512800000 |
j-invariant |
L |
9.3441361276653 |
L(r)(E,1)/r! |
Ω |
0.43425192270927 |
Real period |
R |
2.6897221528232 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999960699 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18910f1 |
Quadratic twists by: 5 |