Atkin-Lehner |
2- 3- 5+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
31950cd |
Isogeny class |
Conductor |
31950 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
14400 |
Modular degree for the optimal curve |
Δ |
-41407200 = -1 · 25 · 36 · 52 · 71 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 -4 1 -4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-770,8417] |
[a1,a2,a3,a4,a6] |
Generators |
[15:-17:1] |
Generators of the group modulo torsion |
j |
-2766938305/2272 |
j-invariant |
L |
7.6727314631283 |
L(r)(E,1)/r! |
Ω |
2.0214224127169 |
Real period |
R |
0.37957091080314 |
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 |
3550f1 31950bg1 |
Quadratic twists by: -3 5 |