Atkin-Lehner |
3+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
7605b |
Isogeny class |
Conductor |
7605 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
550618236675 = 33 · 52 · 138 |
Discriminant |
Eigenvalues |
-1 3+ 5+ -2 -4 13+ 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-67463,-6727444] |
[a1,a2,a3,a4,a6] |
Generators |
[-150:82:1] |
Generators of the group modulo torsion |
j |
260549802603/4225 |
j-invariant |
L |
1.9637247741365 |
L(r)(E,1)/r! |
Ω |
0.29623343036146 |
Real period |
R |
1.6572443999149 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
121680ci2 7605f2 38025i2 585c2 |
Quadratic twists by: -4 -3 5 13 |