Atkin-Lehner |
2+ 3+ 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
95550bg |
Isogeny class |
Conductor |
95550 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
19353600 |
Modular degree for the optimal curve |
Δ |
-3.0521197705791E+24 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- -2 13- 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-61327200,-203091876000] |
[a1,a2,a3,a4,a6] |
Generators |
[39692990:7719807973:1000] |
Generators of the group modulo torsion |
j |
-22202140659489025/2656521215712 |
j-invariant |
L |
3.6363657171335 |
L(r)(E,1)/r! |
Ω |
0.026794820736218 |
Real period |
R |
9.6936796087419 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000003758 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
95550kr1 13650x1 |
Quadratic twists by: 5 -7 |