Atkin-Lehner |
2+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
107800x |
Isogeny class |
Conductor |
107800 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
deg |
2903040 |
Modular degree for the optimal curve |
Δ |
102710548907859200 = 28 · 52 · 77 · 117 |
Discriminant |
Eigenvalues |
2+ -2 5+ 7- 11- 7 -1 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4913393,4190325523] |
[a1,a2,a3,a4,a6] |
Generators |
[1297:1078:1] |
Generators of the group modulo torsion |
j |
17422083655275520/136410197 |
j-invariant |
L |
4.8285760236494 |
L(r)(E,1)/r! |
Ω |
0.30123832802653 |
Real period |
R |
0.1431168676079 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003443 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
107800cm1 15400g1 |
Quadratic twists by: 5 -7 |