Atkin-Lehner |
3+ 31- 37- |
Signs for the Atkin-Lehner involutions |
Class |
10323a |
Isogeny class |
Conductor |
10323 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-25895131947 = -1 · 39 · 312 · 372 |
Discriminant |
Eigenvalues |
1 3+ 2 0 0 -2 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-501,-8740] |
[a1,a2,a3,a4,a6] |
Generators |
[3368:193750:1] |
Generators of the group modulo torsion |
j |
-707347971/1315609 |
j-invariant |
L |
6.0090562970565 |
L(r)(E,1)/r! |
Ω |
0.47532859939644 |
Real period |
R |
6.3209496595477 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10323b2 |
Quadratic twists by: -3 |