Atkin-Lehner |
2+ 3+ 5+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
41070g |
Isogeny class |
Conductor |
41070 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
31701600 |
Modular degree for the optimal curve |
Δ |
2.5726167875398E+26 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -5 2 5 2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-336096373,2242411158733] |
[a1,a2,a3,a4,a6] |
Generators |
[-667971623685470901761909871:-62596123322131278314762464711:38055959510942924346249] |
Generators of the group modulo torsion |
j |
1195367376229058809/73242187500000 |
j-invariant |
L |
2.4443537631588 |
L(r)(E,1)/r! |
Ω |
0.054377055003133 |
Real period |
R |
44.951933550245 |
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 |
123210dp1 41070bb1 |
Quadratic twists by: -3 37 |