Atkin-Lehner |
2+ 3- 5+ 7- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
76650bh |
Isogeny class |
Conductor |
76650 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
994560 |
Modular degree for the optimal curve |
Δ |
-14428473360000000 = -1 · 210 · 3 · 57 · 77 · 73 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 6 -4 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,26499,-5533352] |
[a1,a2,a3,a4,a6] |
Generators |
[1507:58046:1] |
Generators of the group modulo torsion |
j |
131709075301439/923422295040 |
j-invariant |
L |
6.9857080824827 |
L(r)(E,1)/r! |
Ω |
0.19691808670702 |
Real period |
R |
1.2669713510459 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000553 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15330w1 |
Quadratic twists by: 5 |