Atkin-Lehner |
2- 3+ 5+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
37350be |
Isogeny class |
Conductor |
37350 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
-42373808437500000 = -1 · 25 · 39 · 510 · 832 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 4 -4 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,86020,-1968353] |
[a1,a2,a3,a4,a6] |
Generators |
[179:4285:1] |
Generators of the group modulo torsion |
j |
228884003613/137780000 |
j-invariant |
L |
9.3004583774794 |
L(r)(E,1)/r! |
Ω |
0.21028611694264 |
Real period |
R |
2.2113819287498 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37350a2 7470b2 |
Quadratic twists by: -3 5 |