Atkin-Lehner |
2+ 3+ 5- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
45570m |
Isogeny class |
Conductor |
45570 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
Δ |
-640828125000000000 = -1 · 29 · 33 · 515 · 72 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 3 -2 -6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,182108,24338896] |
[a1,a2,a3,a4,a6] |
Generators |
[-123:374:1] |
Generators of the group modulo torsion |
j |
13630474671583360871/13078125000000000 |
j-invariant |
L |
4.1050349210583 |
L(r)(E,1)/r! |
Ω |
0.18917700829226 |
Real period |
R |
1.4466292558844 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000035 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
45570w2 |
Quadratic twists by: -7 |