Atkin-Lehner |
2+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
2450o |
Isogeny class |
Conductor |
2450 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-50176000 = -1 · 213 · 53 · 72 |
Discriminant |
Eigenvalues |
2+ 0 5- 7- 3 -5 -2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-6827,-215419] |
[a1,a2,a3,a4,a6] |
Generators |
[139:1158:1] |
Generators of the group modulo torsion |
j |
-5745702166029/8192 |
j-invariant |
L |
2.3232825936077 |
L(r)(E,1)/r! |
Ω |
0.26260867247409 |
Real period |
R |
4.4234689047387 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19600dp2 78400ed2 22050fr2 2450be2 |
Quadratic twists by: -4 8 -3 5 |