Atkin-Lehner |
3- 5- 17+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
118575s |
Isogeny class |
Conductor |
118575 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
167112000 |
Modular degree for the optimal curve |
Δ |
1.3970249797896E+30 |
Discriminant |
Eigenvalues |
-1 3- 5- -4 4 -1 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3263974430,43792124426322] |
[a1,a2,a3,a4,a6] |
Generators |
[-292306701650165818850103003734849214:647911729147078094272877777732195073422:87629854051717958715382631222407] |
Generators of the group modulo torsion |
j |
2700886836055901572955429/981175294447567609583 |
j-invariant |
L |
2.9706185248993 |
L(r)(E,1)/r! |
Ω |
0.024726060642019 |
Real period |
R |
60.070598545955 |
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 |
13175g1 118575v1 |
Quadratic twists by: -3 5 |