Atkin-Lehner |
2+ 3+ 7+ 23+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
107226a |
Isogeny class |
Conductor |
107226 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
417792 |
Modular degree for the optimal curve |
Δ |
-236799517941504 = -1 · 28 · 39 · 74 · 232 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7+ 0 2 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,3954,-735148] |
[a1,a2,a3,a4,a6] |
Generators |
[24422:1337249:8] |
Generators of the group modulo torsion |
j |
347280685389/12030661888 |
j-invariant |
L |
6.2552337097828 |
L(r)(E,1)/r! |
Ω |
0.26806000329316 |
Real period |
R |
5.8337998893441 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000063285 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
107226s1 |
Quadratic twists by: -3 |