Atkin-Lehner |
2- 7- 17- 47- |
Signs for the Atkin-Lehner involutions |
Class |
78302h |
Isogeny class |
Conductor |
78302 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
4524106646528 = 210 · 76 · 17 · 472 |
Discriminant |
Eigenvalues |
2- -2 0 7- -2 -6 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-38858,2943268] |
[a1,a2,a3,a4,a6] |
Generators |
[124:126:1] |
Generators of the group modulo torsion |
j |
55154061924625/38454272 |
j-invariant |
L |
4.9282303929895 |
L(r)(E,1)/r! |
Ω |
0.7672037945894 |
Real period |
R |
0.64236261950595 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002264 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1598a1 |
Quadratic twists by: -7 |