Atkin-Lehner |
5+ 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
18515b |
Isogeny class |
Conductor |
18515 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
3840 |
Modular degree for the optimal curve |
Δ |
-9794435 = -1 · 5 · 7 · 234 |
Discriminant |
Eigenvalues |
-1 -1 5+ 7+ -5 6 -5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-11,-156] |
[a1,a2,a3,a4,a6] |
Generators |
[6:3:1] [13:39:1] |
Generators of the group modulo torsion |
j |
-529/35 |
j-invariant |
L |
3.6239865937104 |
L(r)(E,1)/r! |
Ω |
1.0108734992613 |
Real period |
R |
1.1950016813376 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999989 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
92575r1 129605z1 18515o1 |
Quadratic twists by: 5 -7 -23 |