Atkin-Lehner |
2- 5- 7- 103- |
Signs for the Atkin-Lehner involutions |
Class |
7210k |
Isogeny class |
Conductor |
7210 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
-1711495924334451500 = -1 · 22 · 53 · 716 · 103 |
Discriminant |
Eigenvalues |
2- -1 5- 7- -2 2 -6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-410640,119077405] |
[a1,a2,a3,a4,a6] |
Generators |
[193:6763:1] |
Generators of the group modulo torsion |
j |
-7657861932846873135361/1711495924334451500 |
j-invariant |
L |
5.4216696230927 |
L(r)(E,1)/r! |
Ω |
0.25370062711208 |
Real period |
R |
0.22260774789335 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
57680s1 64890r1 36050a1 50470g1 |
Quadratic twists by: -4 -3 5 -7 |