Atkin-Lehner |
3+ 5- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
36225ba |
Isogeny class |
Conductor |
36225 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
334080 |
Modular degree for the optimal curve |
Δ |
22919277322265625 = 39 · 59 · 72 · 233 |
Discriminant |
Eigenvalues |
1 3+ 5- 7- 0 2 -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-863367,308904416] |
[a1,a2,a3,a4,a6] |
Generators |
[-1045490:8766169:1000] |
Generators of the group modulo torsion |
j |
1851351993639/596183 |
j-invariant |
L |
6.9721492315575 |
L(r)(E,1)/r! |
Ω |
0.37262651209512 |
Real period |
R |
9.355412195921 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
36225bd1 36225w1 |
Quadratic twists by: -3 5 |