Atkin-Lehner |
2- 3+ 5- 7+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
76650cg |
Isogeny class |
Conductor |
76650 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
241920 |
Modular degree for the optimal curve |
Δ |
-21126656250000 = -1 · 24 · 33 · 59 · 73 · 73 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 4 2 -7 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-3388,-235219] |
[a1,a2,a3,a4,a6] |
Generators |
[735:19507:1] |
Generators of the group modulo torsion |
j |
-2202073901/10816848 |
j-invariant |
L |
8.4209282517722 |
L(r)(E,1)/r! |
Ω |
0.28271638597349 |
Real period |
R |
3.7232225776788 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001285 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
76650br1 |
Quadratic twists by: 5 |