Atkin-Lehner |
2- 3+ 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
74970cc |
Isogeny class |
Conductor |
74970 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
8437639218750000 = 24 · 33 · 510 · 76 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -2 6 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-203678,-35052419] |
[a1,a2,a3,a4,a6] |
j |
294172502025843/2656250000 |
j-invariant |
L |
3.5976616916184 |
L(r)(E,1)/r! |
Ω |
0.22485385450973 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
74970i2 1530j2 |
Quadratic twists by: -3 -7 |