Atkin-Lehner |
2- 3- 5- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
45570di |
Isogeny class |
Conductor |
45570 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
589824 |
Modular degree for the optimal curve |
Δ |
-281519324509859100 = -1 · 22 · 38 · 52 · 712 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 0 -4 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,151605,-11625363] |
[a1,a2,a3,a4,a6] |
j |
3275486903156831/2392874775900 |
j-invariant |
L |
5.5430748927266 |
L(r)(E,1)/r! |
Ω |
0.17322109039917 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6510l1 |
Quadratic twists by: -7 |