Atkin-Lehner |
2- 5- 11- 83- |
Signs for the Atkin-Lehner involutions |
Class |
100430bl |
Isogeny class |
Conductor |
100430 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
345600 |
Modular degree for the optimal curve |
Δ |
-9189972687500 = -1 · 22 · 56 · 116 · 83 |
Discriminant |
Eigenvalues |
2- 1 5- -5 11- 4 -3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,4535,86725] |
[a1,a2,a3,a4,a6] |
Generators |
[30:485:1] |
Generators of the group modulo torsion |
j |
5822285399/5187500 |
j-invariant |
L |
10.151849188028 |
L(r)(E,1)/r! |
Ω |
0.47576568808049 |
Real period |
R |
1.7781598244919 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999990446 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
830a1 |
Quadratic twists by: -11 |