Atkin-Lehner |
2- 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
63700bb |
Isogeny class |
Conductor |
63700 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
103680 |
Modular degree for the optimal curve |
Δ |
-2727903833200 = -1 · 24 · 52 · 79 · 132 |
Discriminant |
Eigenvalues |
2- -2 5+ 7- -3 13- -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,3022,-46187] |
[a1,a2,a3,a4,a6] |
Generators |
[37:343:1] [109:1261:1] |
Generators of the group modulo torsion |
j |
64835840/57967 |
j-invariant |
L |
7.1177357542806 |
L(r)(E,1)/r! |
Ω |
0.44361023683201 |
Real period |
R |
2.0056276781174 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999842 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
63700bo1 9100c1 |
Quadratic twists by: 5 -7 |