Atkin-Lehner |
2+ 3+ 5- 37- |
Signs for the Atkin-Lehner involutions |
Class |
35520r |
Isogeny class |
Conductor |
35520 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
8640 |
Modular degree for the optimal curve |
Δ |
-22200000 = -1 · 26 · 3 · 55 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -2 -4 -5 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5,-225] |
[a1,a2,a3,a4,a6] |
Generators |
[10:25:1] |
Generators of the group modulo torsion |
j |
-262144/346875 |
j-invariant |
L |
3.4131588443488 |
L(r)(E,1)/r! |
Ω |
0.96907529731368 |
Real period |
R |
0.70441561224596 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35520db1 555a1 106560bx1 |
Quadratic twists by: -4 8 -3 |