Atkin-Lehner |
3+ 7- 19- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
103341i |
Isogeny class |
Conductor |
103341 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
307200 |
Modular degree for the optimal curve |
Δ |
-41150634115059 = -1 · 38 · 73 · 192 · 373 |
Discriminant |
Eigenvalues |
0 3+ 3 7- 3 -3 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-45719,3790562] |
[a1,a2,a3,a4,a6] |
Generators |
[110:-284:1] |
Generators of the group modulo torsion |
j |
-30812664777048064/119972694213 |
j-invariant |
L |
6.251443157141 |
L(r)(E,1)/r! |
Ω |
0.64726011737887 |
Real period |
R |
1.2072895806163 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999869807 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
103341o1 |
Quadratic twists by: -7 |