Atkin-Lehner |
5+ 7- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
126175a |
Isogeny class |
Conductor |
126175 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
470016 |
Modular degree for the optimal curve |
Δ |
324720431328125 = 57 · 79 · 103 |
Discriminant |
Eigenvalues |
0 -2 5+ 7- -2 3 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-87383,9875394] |
[a1,a2,a3,a4,a6] |
Generators |
[198:612:1] [282:20919:8] |
Generators of the group modulo torsion |
j |
40142209024/176645 |
j-invariant |
L |
7.3096161435216 |
L(r)(E,1)/r! |
Ω |
0.54507804728918 |
Real period |
R |
0.83813870495649 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000006894 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25235d1 18025c1 |
Quadratic twists by: 5 -7 |