Atkin-Lehner |
2- 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
63700bt |
Isogeny class |
Conductor |
63700 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
642816 |
Modular degree for the optimal curve |
Δ |
-68197595830000 = -1 · 24 · 54 · 79 · 132 |
Discriminant |
Eigenvalues |
2- -2 5- 7- 1 13- -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1458158,677241613] |
[a1,a2,a3,a4,a6] |
Generators |
[697:13:1] |
Generators of the group modulo torsion |
j |
-291440245830400/57967 |
j-invariant |
L |
4.264467260843 |
L(r)(E,1)/r! |
Ω |
0.4884467360985 |
Real period |
R |
2.1826674978737 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999989313 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
63700m1 9100k1 |
Quadratic twists by: 5 -7 |