Atkin-Lehner |
2+ 3- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
1950l |
Isogeny class |
Conductor |
1950 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
10661625000000 = 26 · 38 · 59 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 2 13+ -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-222451,-40401202] |
[a1,a2,a3,a4,a6] |
Generators |
[-272:149:1] |
Generators of the group modulo torsion |
j |
623295446073461/5458752 |
j-invariant |
L |
2.4504572001729 |
L(r)(E,1)/r! |
Ω |
0.21983226072867 |
Real period |
R |
1.3933676022177 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15600bu1 62400by1 5850bz1 1950u1 |
Quadratic twists by: -4 8 -3 5 |