Atkin-Lehner |
2+ 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
35280cu |
Isogeny class |
Conductor |
35280 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
-72013536000000 = -1 · 211 · 38 · 56 · 73 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -6 -2 -4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5187,432866] |
[a1,a2,a3,a4,a6] |
Generators |
[-83:540:1] [37:-540:1] |
Generators of the group modulo torsion |
j |
-30138446/140625 |
j-invariant |
L |
8.8276531764756 |
L(r)(E,1)/r! |
Ω |
0.53424054577446 |
Real period |
R |
0.34424463405334 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17640bl2 11760i2 35280bv2 |
Quadratic twists by: -4 -3 -7 |