Atkin-Lehner |
2+ 5+ 19- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
35150i |
Isogeny class |
Conductor |
35150 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1825920 |
Modular degree for the optimal curve |
Δ |
-15645730298125000 = -1 · 23 · 57 · 192 · 375 |
Discriminant |
Eigenvalues |
2+ -2 5+ 5 1 6 -7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-5405776,-4838111802] |
[a1,a2,a3,a4,a6] |
j |
-1118092432397783881969/1001326739080 |
j-invariant |
L |
1.7822044947308 |
L(r)(E,1)/r! |
Ω |
0.049505680408153 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7030f1 |
Quadratic twists by: 5 |