Atkin-Lehner |
2+ 3- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
9702p |
Isogeny class |
Conductor |
9702 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
395580057279014916 = 22 · 310 · 712 · 112 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 11+ 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1110006,449387392] |
[a1,a2,a3,a4,a6] |
Generators |
[-691:30113:1] |
Generators of the group modulo torsion |
j |
1763535241378513/4612311396 |
j-invariant |
L |
3.777111931508 |
L(r)(E,1)/r! |
Ω |
0.3009071314483 |
Real period |
R |
3.1381043657293 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
77616gh2 3234r2 1386b2 106722gv2 |
Quadratic twists by: -4 -3 -7 -11 |