Atkin-Lehner |
3+ 5- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
113925bg |
Isogeny class |
Conductor |
113925 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1244160 |
Modular degree for the optimal curve |
Δ |
1811311733576953125 = 33 · 58 · 78 · 313 |
Discriminant |
Eigenvalues |
0 3+ 5- 7- -3 -2 -3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-334833,37105193] |
[a1,a2,a3,a4,a6] |
Generators |
[-37:7031:1] |
Generators of the group modulo torsion |
j |
90336133120/39413493 |
j-invariant |
L |
3.3576439154291 |
L(r)(E,1)/r! |
Ω |
0.23803837075095 |
Real period |
R |
3.5263684011106 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998807408 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113925bv1 16275bc1 |
Quadratic twists by: 5 -7 |