Atkin-Lehner |
3- 5- 7+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
15015r |
Isogeny class |
Conductor |
15015 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
100800 |
Modular degree for the optimal curve |
Δ |
-301860405721875 = -1 · 3 · 55 · 7 · 115 · 134 |
Discriminant |
Eigenvalues |
2 3- 5- 7+ 11+ 13+ -5 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-37170,2869799] |
[a1,a2,a3,a4,a6] |
Generators |
[1498:12671:8] |
Generators of the group modulo torsion |
j |
-5679538912157003776/301860405721875 |
j-invariant |
L |
11.431549675704 |
L(r)(E,1)/r! |
Ω |
0.53903510222607 |
Real period |
R |
2.1207430886216 |
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 |
45045s1 75075u1 105105n1 |
Quadratic twists by: -3 5 -7 |