Atkin-Lehner |
2+ 7- 31- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
124558h |
Isogeny class |
Conductor |
124558 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2663040 |
Modular degree for the optimal curve |
Δ |
-645869855169839104 = -1 · 219 · 73 · 31 · 415 |
Discriminant |
Eigenvalues |
2+ 2 3 7- 1 3 -2 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-675476,-217431472] |
[a1,a2,a3,a4,a6] |
Generators |
[108291798717432794341866434326497196635:22377153613931850981239016498785562839207:2523074174063634935643710185150875] |
Generators of the group modulo torsion |
j |
-99371161358402042719/1883002493206528 |
j-invariant |
L |
10.143542214183 |
L(r)(E,1)/r! |
Ω |
0.083172363150239 |
Real period |
R |
60.979042977657 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124558f1 |
Quadratic twists by: -7 |