Atkin-Lehner |
3- 5+ 7+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
45045s |
Isogeny class |
Conductor |
45045 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
806400 |
Modular degree for the optimal curve |
Δ |
-220056235771246875 = -1 · 37 · 55 · 7 · 115 · 134 |
Discriminant |
Eigenvalues |
-2 3- 5+ 7+ 11- 13+ 5 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-334533,-77819112] |
[a1,a2,a3,a4,a6] |
Generators |
[2099:92020:1] |
Generators of the group modulo torsion |
j |
-5679538912157003776/301860405721875 |
j-invariant |
L |
2.487574969239 |
L(r)(E,1)/r! |
Ω |
0.098950787509043 |
Real period |
R |
1.2569758320538 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000031 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15015r1 |
Quadratic twists by: -3 |