Atkin-Lehner |
5+ 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
35525a |
Isogeny class |
Conductor |
35525 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
63504 |
Modular degree for the optimal curve |
Δ |
2612175453125 = 56 · 78 · 29 |
Discriminant |
Eigenvalues |
0 2 5+ 7+ 6 1 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-11433,467893] |
[a1,a2,a3,a4,a6] |
Generators |
[187935:94733:3375] |
Generators of the group modulo torsion |
j |
1835008/29 |
j-invariant |
L |
7.5180622517693 |
L(r)(E,1)/r! |
Ω |
0.81225930074107 |
Real period |
R |
9.2557416639131 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999989 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1421a1 35525c1 |
Quadratic twists by: 5 -7 |