Atkin-Lehner |
2+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
118496d |
Isogeny class |
Conductor |
118496 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1892352 |
Modular degree for the optimal curve |
Δ |
-18559077023714752 = -1 · 26 · 7 · 2310 |
Discriminant |
Eigenvalues |
2+ 2 4 7- -4 4 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-185326,31461648] |
[a1,a2,a3,a4,a6] |
Generators |
[3617684309648955:17629639155445526:12495243340125] |
Generators of the group modulo torsion |
j |
-74299881664/1958887 |
j-invariant |
L |
14.929480246213 |
L(r)(E,1)/r! |
Ω |
0.38622280705563 |
Real period |
R |
19.327548592019 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000070187 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
118496b1 5152a1 |
Quadratic twists by: -4 -23 |