Atkin-Lehner |
2+ 3- 7- 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
40698t |
Isogeny class |
Conductor |
40698 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
587776 |
Modular degree for the optimal curve |
Δ |
-680936460722896896 = -1 · 228 · 310 · 7 · 17 · 192 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- -4 2 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-434313,117211405] |
[a1,a2,a3,a4,a6] |
Generators |
[-37:11561:1] |
Generators of the group modulo torsion |
j |
-12428114143531684753/934069219098624 |
j-invariant |
L |
3.2364295486299 |
L(r)(E,1)/r! |
Ω |
0.28143031419298 |
Real period |
R |
2.8749830645571 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999959 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13566n1 |
Quadratic twists by: -3 |