Atkin-Lehner |
2+ 3+ 5+ 17+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
94350b |
Isogeny class |
Conductor |
94350 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
811008 |
Modular degree for the optimal curve |
Δ |
2816014916250000 = 24 · 36 · 57 · 174 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -4 -4 2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-79875,8272125] |
[a1,a2,a3,a4,a6] |
Generators |
[-99:3951:1] |
Generators of the group modulo torsion |
j |
3606988811384881/180224954640 |
j-invariant |
L |
2.433971948493 |
L(r)(E,1)/r! |
Ω |
0.44729300965478 |
Real period |
R |
1.360390101996 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000067328 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18870x1 |
Quadratic twists by: 5 |