Atkin-Lehner |
2- 5+ 11- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
67100g |
Isogeny class |
Conductor |
67100 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
293760 |
Modular degree for the optimal curve |
Δ |
-335500000000 = -1 · 28 · 59 · 11 · 61 |
Discriminant |
Eigenvalues |
2- -2 5+ -4 11- 5 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-114533,14881063] |
[a1,a2,a3,a4,a6] |
Generators |
[193:-50:1] |
Generators of the group modulo torsion |
j |
-41539323756544/83875 |
j-invariant |
L |
3.2840339509381 |
L(r)(E,1)/r! |
Ω |
0.82691966429425 |
Real period |
R |
0.66190104726239 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000453 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13420b1 |
Quadratic twists by: 5 |