Atkin-Lehner |
2- 3+ 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
25410bp |
Isogeny class |
Conductor |
25410 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
126720 |
Modular degree for the optimal curve |
Δ |
-123792253777500 = -1 · 22 · 3 · 54 · 7 · 119 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 11+ -2 -8 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-21601,-1343077] |
[a1,a2,a3,a4,a6] |
Generators |
[16812086368:-309944753963:43614208] |
Generators of the group modulo torsion |
j |
-472729139/52500 |
j-invariant |
L |
6.3694429868339 |
L(r)(E,1)/r! |
Ω |
0.19567773286204 |
Real period |
R |
16.275339287901 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
76230cc1 127050ck1 25410b1 |
Quadratic twists by: -3 5 -11 |