Atkin-Lehner |
2- 5+ 17- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
31450r |
Isogeny class |
Conductor |
31450 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
38400 |
Modular degree for the optimal curve |
Δ |
-90890500000 = -1 · 25 · 56 · 173 · 37 |
Discriminant |
Eigenvalues |
2- -2 5+ -3 2 -3 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-4113,102217] |
[a1,a2,a3,a4,a6] |
Generators |
[72:389:1] |
Generators of the group modulo torsion |
j |
-492477523273/5816992 |
j-invariant |
L |
4.4543771749865 |
L(r)(E,1)/r! |
Ω |
1.0766302332881 |
Real period |
R |
0.13791108086641 |
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 |
1258a1 |
Quadratic twists by: 5 |