Atkin-Lehner |
2+ 7- 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
113344x |
Isogeny class |
Conductor |
113344 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
-4512229151997952 = -1 · 222 · 75 · 112 · 232 |
Discriminant |
Eigenvalues |
2+ 0 0 7- 11+ 0 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,820,3231856] |
[a1,a2,a3,a4,a6] |
Generators |
[-123:1127:1] [-18:1792:1] |
Generators of the group modulo torsion |
j |
232608375/17212788208 |
j-invariant |
L |
11.723227750291 |
L(r)(E,1)/r! |
Ω |
0.34462247914363 |
Real period |
R |
1.7008797248154 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000402 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
113344df1 3542e1 |
Quadratic twists by: -4 8 |