Atkin-Lehner |
2+ 5+ 7+ 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
113050i |
Isogeny class |
Conductor |
113050 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
-49027594656250 = -1 · 2 · 56 · 75 · 173 · 19 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7+ -2 -4 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-16142,-854234] |
[a1,a2,a3,a4,a6] |
Generators |
[279:3898:1] |
Generators of the group modulo torsion |
j |
-29770823556657/3137766058 |
j-invariant |
L |
2.9927278145435 |
L(r)(E,1)/r! |
Ω |
0.21052289937175 |
Real period |
R |
2.3692812884739 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000056413 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4522g1 |
Quadratic twists by: 5 |