Atkin-Lehner |
5- 7+ 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
15785d |
Isogeny class |
Conductor |
15785 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
119808 |
Modular degree for the optimal curve |
Δ |
-8206966796875 = -1 · 59 · 7 · 114 · 41 |
Discriminant |
Eigenvalues |
-2 -2 5- 7+ 11- -4 -4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-143430,20860506] |
[a1,a2,a3,a4,a6] |
Generators |
[4768470263025094561330414772571210:1355342111942022619630246117008558:22071285575434213809631452203509] [48:3753:1] |
Generators of the group modulo torsion |
j |
-326322286440989372416/8206966796875 |
j-invariant |
L |
2.8324961984929 |
L(r)(E,1)/r! |
Ω |
0.68321579412221 |
Real period |
R |
0.11516193073258 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
78925i1 110495c1 |
Quadratic twists by: 5 -7 |