Atkin-Lehner |
2- 3+ 5- 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
77700n |
Isogeny class |
Conductor |
77700 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
309120 |
Modular degree for the optimal curve |
Δ |
-236943203616000 = -1 · 28 · 35 · 53 · 77 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 5 4 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-31668,2302632] |
[a1,a2,a3,a4,a6] |
Generators |
[122:490:1] |
Generators of the group modulo torsion |
j |
-109761328912016/7404475113 |
j-invariant |
L |
6.7670344838434 |
L(r)(E,1)/r! |
Ω |
0.54764590907414 |
Real period |
R |
0.2942044594718 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000114 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
77700bb1 |
Quadratic twists by: 5 |