Atkin-Lehner |
3+ 5+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
5025a |
Isogeny class |
Conductor |
5025 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-5947705810546875 = -1 · 34 · 512 · 673 |
Discriminant |
Eigenvalues |
0 3+ 5+ -2 -6 -2 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-75033,-8712907] |
[a1,a2,a3,a4,a6] |
Generators |
[477:7987:1] |
Generators of the group modulo torsion |
j |
-2989967081734144/380653171875 |
j-invariant |
L |
2.148515345877 |
L(r)(E,1)/r! |
Ω |
0.14321139402868 |
Real period |
R |
3.7506012710253 |
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 |
80400df2 15075e2 1005b2 |
Quadratic twists by: -4 -3 5 |