Atkin-Lehner |
2+ 5+ 7- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
70070d |
Isogeny class |
Conductor |
70070 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
115015680 |
Modular degree for the optimal curve |
Δ |
-3.1130102070121E+30 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- 11+ 13- -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,62927800,-84888208250560] |
[a1,a2,a3,a4,a6] |
Generators |
[98265044972432:135169440409493048:51895117] |
Generators of the group modulo torsion |
j |
234241108436789946525879/26460150167125207212359680 |
j-invariant |
L |
2.9786576282182 |
L(r)(E,1)/r! |
Ω |
0.011623535569074 |
Real period |
R |
16.016305939174 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997035 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10010k1 |
Quadratic twists by: -7 |