Atkin-Lehner |
5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
29575m |
Isogeny class |
Conductor |
29575 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
741312 |
Modular degree for the optimal curve |
Δ |
-3694176773766171875 = -1 · 57 · 73 · 1310 |
Discriminant |
Eigenvalues |
2 -1 5+ 7- -5 13+ -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-238008,102786543] |
[a1,a2,a3,a4,a6] |
j |
-692224/1715 |
j-invariant |
L |
1.3218788479918 |
L(r)(E,1)/r! |
Ω |
0.22031314133181 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5915j1 29575g1 |
Quadratic twists by: 5 13 |