Atkin-Lehner |
2- 3- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
97344eh |
Isogeny class |
Conductor |
97344 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
344064 |
Modular degree for the optimal curve |
Δ |
-1826819160910848 = -1 · 210 · 37 · 138 |
Discriminant |
Eigenvalues |
2- 3- 0 0 6 13+ -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-20280,-2337608] |
[a1,a2,a3,a4,a6] |
Generators |
[15772614:604014619:10648] |
Generators of the group modulo torsion |
j |
-256000/507 |
j-invariant |
L |
7.2938842420662 |
L(r)(E,1)/r! |
Ω |
0.18802527448073 |
Real period |
R |
9.6980103656086 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999978396 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
97344x1 24336c1 32448cu1 7488bx1 |
Quadratic twists by: -4 8 -3 13 |