Atkin-Lehner |
3+ 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
39675i |
Isogeny class |
Conductor |
39675 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1013760 |
Modular degree for the optimal curve |
Δ |
3664164276767732175 = 316 · 52 · 237 |
Discriminant |
Eigenvalues |
1 3+ 5+ -5 -5 -1 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-439345,-64071710] |
[a1,a2,a3,a4,a6] |
Generators |
[-314:6718:1] [726:166:1] |
Generators of the group modulo torsion |
j |
2534167381585/990074583 |
j-invariant |
L |
7.7214347251282 |
L(r)(E,1)/r! |
Ω |
0.19172366460843 |
Real period |
R |
5.0342212194433 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999985 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
119025bm1 39675br1 1725e1 |
Quadratic twists by: -3 5 -23 |