Atkin-Lehner |
3- 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
1035a |
Isogeny class |
Conductor |
1035 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1536 |
Modular degree for the optimal curve |
Δ |
-13751035875 = -1 · 314 · 53 · 23 |
Discriminant |
Eigenvalues |
2 3- 5+ -5 2 -6 -1 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-903,-11871] |
[a1,a2,a3,a4,a6] |
Generators |
[418:2309:8] |
Generators of the group modulo torsion |
j |
-111701610496/18862875 |
j-invariant |
L |
3.9154903036292 |
L(r)(E,1)/r! |
Ω |
0.43147339703196 |
Real period |
R |
4.5373484559689 |
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 |
16560bo1 66240dh1 345f1 5175h1 |
Quadratic twists by: -4 8 -3 5 |