Atkin-Lehner |
3- 7- 17- 43- |
Signs for the Atkin-Lehner involutions |
Class |
107457o |
Isogeny class |
Conductor |
107457 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2433024 |
Modular degree for the optimal curve |
Δ |
3915658625301297 = 32 · 712 · 17 · 432 |
Discriminant |
Eigenvalues |
1 3- 0 7- 2 -2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-18376006,30318160331] |
[a1,a2,a3,a4,a6] |
Generators |
[3394106243209:-1683204662896:1371330631] |
Generators of the group modulo torsion |
j |
5832957472393105671625/33282549153 |
j-invariant |
L |
9.2426686333297 |
L(r)(E,1)/r! |
Ω |
0.30045592562214 |
Real period |
R |
15.381072256959 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000031677 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15351b1 |
Quadratic twists by: -7 |