Atkin-Lehner |
2- 3- 5+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
101430ee |
Isogeny class |
Conductor |
101430 |
Conductor |
∏ cp |
448 |
Product of Tamagawa factors cp |
deg |
2064384 |
Modular degree for the optimal curve |
Δ |
-3252141527685120000 = -1 · 214 · 36 · 54 · 77 · 232 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 -4 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-392573,-128319803] |
[a1,a2,a3,a4,a6] |
Generators |
[1003:21548:1] |
Generators of the group modulo torsion |
j |
-78013216986489/37918720000 |
j-invariant |
L |
9.4841592742778 |
L(r)(E,1)/r! |
Ω |
0.093205463000617 |
Real period |
R |
0.90853036642499 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000798 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11270f1 14490bx1 |
Quadratic twists by: -3 -7 |