Atkin-Lehner |
2- 3- 5+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
107100w |
Isogeny class |
Conductor |
107100 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
777600 |
Modular degree for the optimal curve |
Δ |
-11291184843750000 = -1 · 24 · 36 · 510 · 73 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 3 4 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-125625,-17884375] |
[a1,a2,a3,a4,a6] |
Generators |
[461:4709:1] |
Generators of the group modulo torsion |
j |
-1924883200/99127 |
j-invariant |
L |
7.0159499280335 |
L(r)(E,1)/r! |
Ω |
0.1264155062817 |
Real period |
R |
4.6249270432702 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005334 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11900a1 107100cp1 |
Quadratic twists by: -3 5 |