Atkin-Lehner |
2+ 3+ 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
72600t |
Isogeny class |
Conductor |
72600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
7488000 |
Modular degree for the optimal curve |
Δ |
-3.4175729423256E+22 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -1 11- 1 2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-95932833,-361736163963] |
[a1,a2,a3,a4,a6] |
Generators |
[68737164878385128797:12172359776513647223106:1995284130496957] |
Generators of the group modulo torsion |
j |
-551149496796160/192913083 |
j-invariant |
L |
5.9471580700725 |
L(r)(E,1)/r! |
Ω |
0.024119517878339 |
Real period |
R |
30.821294294057 |
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 |
72600dr1 6600y1 |
Quadratic twists by: 5 -11 |