Atkin-Lehner |
2- 3- 5- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
35700bu |
Isogeny class |
Conductor |
35700 |
Conductor |
∏ cp |
243 |
Product of Tamagawa factors cp |
deg |
272160 |
Modular degree for the optimal curve |
Δ |
11477157300000000 = 28 · 39 · 58 · 73 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 3 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-97333,-10522537] |
[a1,a2,a3,a4,a6] |
Generators |
[-223:378:1] |
Generators of the group modulo torsion |
j |
1019784724480/114771573 |
j-invariant |
L |
7.6206850261237 |
L(r)(E,1)/r! |
Ω |
0.27227102181045 |
Real period |
R |
1.0366420623221 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
107100cq1 35700j1 |
Quadratic twists by: -3 5 |