Atkin-Lehner |
2+ 3+ 5- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
75810x |
Isogeny class |
Conductor |
75810 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
6102228191280322500 = 22 · 32 · 54 · 78 · 196 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ -4 2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-43338057,109794503889] |
[a1,a2,a3,a4,a6] |
Generators |
[3228:57951:1] |
Generators of the group modulo torsion |
j |
191342053882402567201/129708022500 |
j-invariant |
L |
3.4792707955389 |
L(r)(E,1)/r! |
Ω |
0.19771179829578 |
Real period |
R |
2.1997111607739 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002632 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
210e5 |
Quadratic twists by: -19 |