Atkin-Lehner |
2- 3+ 5- 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
36630ba |
Isogeny class |
Conductor |
36630 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
63360 |
Modular degree for the optimal curve |
Δ |
1312519127040 = 215 · 39 · 5 · 11 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 5- 1 11- 5 -5 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-5132,131599] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:437:1] |
Generators of the group modulo torsion |
j |
759299343867/66682880 |
j-invariant |
L |
10.41878931983 |
L(r)(E,1)/r! |
Ω |
0.83695597625686 |
Real period |
R |
0.41494772387058 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36630a1 |
Quadratic twists by: -3 |